Q3 obtain all zeroes of the polynomial f x 2x4 x3 14x2 19x 6 if two of its zeroes are 2 and 1

CBSE 10 - Maths

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Obtain all zeros of the polynomial fx=2 x4+x3 14 x2 19 x 6, if two of its zeros are 2 and 1.

We know that, if

is a zero of a polynomial, and then

is a factor of

Since

and

are zeros of

Therefore

is a factor of

.Now, We divide

to find the other zeros of

By using division algorithm we have,

Hence, the zeros of the given polynomials are

Obtain all zeros of the polynomial fx=2 x4+x3 14 x2 19 x 6, if two of its zeros are 2 and 1.

We know that, if

is a zero of a polynomial, and then

is a factor of

Since

and

are zeros of

Therefore

is a factor of

.Now, We divide

to find the other zeros of

By using division algorithm we have,

Hence, the zeros of the given polynomials are

Obtain all zeros of the polynomial fx=2 x4+x3 14 x2 19 x 6, if two of its zeros are 2 and 1.

We know that, if

is a zero of a polynomial, and then

is a factor of

Since

and

are zeros of

Therefore

is a factor of

.Now, We divide

to find the other zeros of

By using division algorithm we have,

Hence, the zeros of the given polynomials are

Obtain all zeros of the polynomial fx=2 x4+x3 14 x2 19 x 6, if two of its zeros are 2 and 1.

We know that, if

is a zero of a polynomial, and then

is a factor of

Since

and

are zeros of

Therefore

is a factor of

.Now, We divide

to find the other zeros of

By using division algorithm we have,

Hence, the zeros of the given polynomials are

Obtain all zeros of the polynomial fx=2 x4+x3 14 x2 19 x 6, if two of its zeros are 2 and 1.

We know that, if

is a zero of a polynomial, and then

is a factor of

Since

and

are zeros of

Therefore

is a factor of

.Now, We divide

to find the other zeros of

By using division algorithm we have,

Hence, the zeros of the given polynomials are

Obtain all zeros of the polynomial fx=2 x4+x3 14 x2 19 x 6, if two of its zeros are 2 and 1.

We know that, if

is a zero of a polynomial, and then

is a factor of

Since

and

are zeros of

Therefore

is a factor of

.Now, We divide

to find the other zeros of

By using division algorithm we have,

Hence, the zeros of the given polynomials are

Obtain all zeros of the polynomial fx=2 x4+x3 14 x2 19 x 6, if two of its zeros are 2 and 1.

We know that, if

is a zero of a polynomial, and then

is a factor of

Since

and

are zeros of

Therefore

is a factor of

.Now, We divide

to find the other zeros of

By using division algorithm we have,

Hence, the zeros of the given polynomials are

Obtain all zeros of the polynomial f(x) = 2x4 + x3 − 14x2 − 19x − 6, if two of its zeros are −2 and −1.

Obtain all zeros of the polynomial fx=2 x4+x3 14 x2 19 x 6, if two of its zeros are 2 and 1.

We know that, if

is a zero of a polynomial, and then

is a factor of

Since

and

are zeros of

Therefore

is a factor of

.Now, We divide

to find the other zeros of

By using division algorithm we have,

Hence, the zeros of the given polynomials are

Obtain all zeros of the polynomial fx=2 x4+x3 14 x2 19 x 6, if two of its zeros are 2 and 1.

We know that, if

is a zero of a polynomial, and then

is a factor of

Since

and

are zeros of

Therefore

is a factor of

.Now, We divide

to find the other zeros of

By using division algorithm we have,

Hence, the zeros of the given polynomials are

Obtain all zeros of the polynomial fx=2 x4+x3 14 x2 19 x 6, if two of its zeros are 2 and 1.

We know that, if

is a zero of a polynomial, and then

is a factor of

Since

and

are zeros of

Therefore

is a factor of

.Now, We divide

to find the other zeros of

By using division algorithm we have,

Hence, the zeros of the given polynomials are

Obtain all zeros of the polynomial fx=2 x4+x3 14 x2 19 x 6, if two of its zeros are 2 and 1.

We know that, if

is a zero of a polynomial, and then

is a factor of

Since

and

are zeros of

Therefore

is a factor of

.Now, We divide

to find the other zeros of

By using division algorithm we have,

Hence, the zeros of the given polynomials are

Obtain all zeros of the polynomial fx=2 x4+x3 14 x2 19 x 6, if two of its zeros are 2 and 1.

We know that, if

is a zero of a polynomial, and then

is a factor of

Since

and

are zeros of

Therefore

is a factor of

.Now, We divide

to find the other zeros of

By using division algorithm we have,

Hence, the zeros of the given polynomials are

Obtain all zeros of the polynomial fx=2 x4+x3 14 x2 19 x 6, if two of its zeros are 2 and 1.

We know that, if

is a zero of a polynomial, and then

is a factor of

Since

and

are zeros of

Therefore

is a factor of

.Now, We divide

to find the other zeros of

By using division algorithm we have,

Hence, the zeros of the given polynomials are

Obtain all zeros of the polynomial fx=2 x4+x3 14 x2 19 x 6, if two of its zeros are 2 and 1.

We know that, if

is a zero of a polynomial, and then

is a factor of

Since

and

are zeros of

Therefore

is a factor of

.Now, We divide

to find the other zeros of

By using division algorithm we have,

Hence, the zeros of the given polynomials are

Find all the zeros of the polynomial 2x3 + x2 − 6x − 3, if two of its zeros are -3 and 3.Apply division algorithm to find the quotient q(x) and remainder r(x) in dividing f(x) by g(x) in each of the following :

(i) f(x) = x3 − 6x2 + 11x − 6, g(x) = x2 + x + 1

(ii) f(x) = 10x4 + 17x3 − 62x2 + 30x − 3, g(x) = 2x2 + 7x + 1
(iii) f(x) = 4x3 + 8x + 8x2 + 7, g(x) = 2x2 − x + 1
(iv) f(x) = 15x3 − 20x2 + 13x − 12, g(x) = 2 − 2x + x2Find all zeros of the polynomial 2x4 + 7x3 − 19x2 − 14x + 30, if two of its zeros are 2 and -2.Find all the zeros of the polynomial x4 + x3 − 34x2 − 4x + 120, if two of its zeros are 2 and −2.What must be added to the polynomial f(x) = x4 + 2x3 − 2x2 + x − 1 so that the resulting polynomial is exactly divisible by x2 + 2x − 3?

Obtain all zeros of the polynomial fx=2 x4+x3 14 x2 19 x 6, if two of its zeros are 2 and 1.

We know that, if

is a zero of a polynomial, and then

is a factor of

Since

and

are zeros of

Therefore

is a factor of

.Now, We divide

to find the other zeros of

By using division algorithm we have,

Hence, the zeros of the given polynomials are

Obtain all zeros of the polynomial fx=2 x4+x3 14 x2 19 x 6, if two of its zeros are 2 and 1.

We know that, if

is a zero of a polynomial, and then

is a factor of

Since

and

are zeros of

Therefore

is a factor of

.Now, We divide

to find the other zeros of

By using division algorithm we have,

Hence, the zeros of the given polynomials are

Obtain all zeros of the polynomial fx=2 x4+x3 14 x2 19 x 6, if two of its zeros are 2 and 1.

We know that, if

is a zero of a polynomial, and then

is a factor of

Since

and

are zeros of

Therefore

is a factor of

.Now, We divide

to find the other zeros of

By using division algorithm we have,

Hence, the zeros of the given polynomials are

Obtain all zeros of the polynomial fx=2 x4+x3 14 x2 19 x 6, if two of its zeros are 2 and 1.

We know that, if

is a zero of a polynomial, and then

is a factor of

Since

and

are zeros of

Therefore

is a factor of

.Now, We divide

to find the other zeros of

By using division algorithm we have,

Hence, the zeros of the given polynomials are

Obtain all zeros of the polynomial fx=2 x4+x3 14 x2 19 x 6, if two of its zeros are 2 and 1.

We know that, if

is a zero of a polynomial, and then

is a factor of

Since

and

are zeros of

Therefore

is a factor of

.Now, We divide

to find the other zeros of

By using division algorithm we have,

Hence, the zeros of the given polynomials are

Obtain all zeros of the polynomial fx=2 x4+x3 14 x2 19 x 6, if two of its zeros are 2 and 1.

We know that, if

is a zero of a polynomial, and then

is a factor of

Since

and

are zeros of

Therefore

is a factor of

.Now, We divide

to find the other zeros of

By using division algorithm we have,

Hence, the zeros of the given polynomials are

Obtain all zeros of the polynomial fx=2 x4+x3 14 x2 19 x 6, if two of its zeros are 2 and 1.

We know that, if

is a zero of a polynomial, and then

is a factor of

Since

and

are zeros of

Therefore

is a factor of

.Now, We divide

to find the other zeros of

By using division algorithm we have,

Hence, the zeros of the given polynomials are

Obtain all zeros of the polynomial f(x) = 2x4 + x3 − 14x2 − 19x − 6, if two of its zeros are −2 and −1.

Obtain all zeros of the polynomial fx=2 x4+x3 14 x2 19 x 6, if two of its zeros are 2 and 1.

We know that, if

is a zero of a polynomial, and then

is a factor of

Since

and

are zeros of

Therefore

is a factor of

.Now, We divide

to find the other zeros of

By using division algorithm we have,

Hence, the zeros of the given polynomials are

Obtain all zeros of the polynomial fx=2 x4+x3 14 x2 19 x 6, if two of its zeros are 2 and 1.

We know that, if

is a zero of a polynomial, and then

is a factor of

Since

and

are zeros of

Therefore

is a factor of

.Now, We divide

to find the other zeros of

By using division algorithm we have,

Hence, the zeros of the given polynomials are

Obtain all zeros of the polynomial fx=2 x4+x3 14 x2 19 x 6, if two of its zeros are 2 and 1.

We know that, if

is a zero of a polynomial, and then

is a factor of

Since

and

are zeros of

Therefore

is a factor of

.Now, We divide

to find the other zeros of

By using division algorithm we have,

Hence, the zeros of the given polynomials are

Obtain all zeros of the polynomial fx=2 x4+x3 14 x2 19 x 6, if two of its zeros are 2 and 1.

We know that, if

is a zero of a polynomial, and then

is a factor of

Since

and

are zeros of

Therefore

is a factor of

.Now, We divide

to find the other zeros of

By using division algorithm we have,

Hence, the zeros of the given polynomials are

Obtain all zeros of the polynomial fx=2 x4+x3 14 x2 19 x 6, if two of its zeros are 2 and 1.

We know that, if

is a zero of a polynomial, and then

is a factor of

Since

and

are zeros of

Therefore

is a factor of

.Now, We divide

to find the other zeros of

By using division algorithm we have,

Hence, the zeros of the given polynomials are

Obtain all zeros of the polynomial fx=2 x4+x3 14 x2 19 x 6, if two of its zeros are 2 and 1.

We know that, if

is a zero of a polynomial, and then

is a factor of

Since

and

are zeros of

Therefore

is a factor of

.Now, We divide

to find the other zeros of

By using division algorithm we have,

Hence, the zeros of the given polynomials are

Obtain all zeros of the polynomial fx=2 x4+x3 14 x2 19 x 6, if two of its zeros are 2 and 1.

We know that, if

is a zero of a polynomial, and then

is a factor of

Since

and

are zeros of

Therefore

is a factor of

.Now, We divide

to find the other zeros of

By using division algorithm we have,

Hence, the zeros of the given polynomials are

(i) f(x) = x3 − 6x2 + 11x − 6, g(x) = x2 + x + 1

Obtain all zeros of the polynomial fx=2 x4+x3 14 x2 19 x 6, if two of its zeros are 2 and 1.

We know that, if

is a zero of a polynomial, and then

is a factor of

Since

and

are zeros of

Therefore

is a factor of

.Now, We divide

to find the other zeros of

By using division algorithm we have,

Hence, the zeros of the given polynomials are

Obtain all zeros of the polynomial fx=2 x4+x3 14 x2 19 x 6, if two of its zeros are 2 and 1.

We know that, if

is a zero of a polynomial, and then

is a factor of

Since

and

are zeros of

Therefore

is a factor of

.Now, We divide

to find the other zeros of

By using division algorithm we have,

Hence, the zeros of the given polynomials are

Obtain all zeros of the polynomial fx=2 x4+x3 14 x2 19 x 6, if two of its zeros are 2 and 1.

We know that, if

is a zero of a polynomial, and then

is a factor of

Since

and

are zeros of

Therefore

is a factor of

.Now, We divide

to find the other zeros of

By using division algorithm we have,

Hence, the zeros of the given polynomials are

Obtain all zeros of the polynomial fx=2 x4+x3 14 x2 19 x 6, if two of its zeros are 2 and 1.

We know that, if

is a zero of a polynomial, and then

is a factor of

Since

and

are zeros of

Therefore

is a factor of

.Now, We divide

to find the other zeros of

By using division algorithm we have,

Hence, the zeros of the given polynomials are

Obtain all zeros of the polynomial fx=2 x4+x3 14 x2 19 x 6, if two of its zeros are 2 and 1.

We know that, if

is a zero of a polynomial, and then

is a factor of

Since

and

are zeros of

Therefore

is a factor of

.Now, We divide

to find the other zeros of

By using division algorithm we have,

Hence, the zeros of the given polynomials are

Obtain all zeros of the polynomial fx=2 x4+x3 14 x2 19 x 6, if two of its zeros are 2 and 1.

We know that, if

is a zero of a polynomial, and then

is a factor of

Since

and

are zeros of

Therefore

is a factor of

.Now, We divide

to find the other zeros of

By using division algorithm we have,

Hence, the zeros of the given polynomials are

Obtain all zeros of the polynomial fx=2 x4+x3 14 x2 19 x 6, if two of its zeros are 2 and 1.

We know that, if

is a zero of a polynomial, and then

is a factor of

Since

and

are zeros of

Therefore

is a factor of

.Now, We divide

to find the other zeros of

By using division algorithm we have,

Hence, the zeros of the given polynomials are

Obtain all zeros of the polynomial f(x) = 2x4 + x3 − 14x2 − 19x − 6, if two of its zeros are −2 and −1.

Obtain all zeros of the polynomial fx=2 x4+x3 14 x2 19 x 6, if two of its zeros are 2 and 1.

We know that, if

is a zero of a polynomial, and then

is a factor of

Since

and

are zeros of

Therefore

is a factor of

.Now, We divide

to find the other zeros of

By using division algorithm we have,

Hence, the zeros of the given polynomials are

Obtain all zeros of the polynomial fx=2 x4+x3 14 x2 19 x 6, if two of its zeros are 2 and 1.

We know that, if

is a zero of a polynomial, and then

is a factor of

Since

and

are zeros of

Therefore

is a factor of

.Now, We divide

to find the other zeros of

By using division algorithm we have,

Hence, the zeros of the given polynomials are

Obtain all zeros of the polynomial fx=2 x4+x3 14 x2 19 x 6, if two of its zeros are 2 and 1.

We know that, if

is a zero of a polynomial, and then

is a factor of

Since

and

are zeros of

Therefore

is a factor of

.Now, We divide

to find the other zeros of

By using division algorithm we have,

Hence, the zeros of the given polynomials are

Obtain all zeros of the polynomial fx=2 x4+x3 14 x2 19 x 6, if two of its zeros are 2 and 1.

We know that, if

is a zero of a polynomial, and then

is a factor of

Since

and

are zeros of

Therefore

is a factor of

.Now, We divide

to find the other zeros of

By using division algorithm we have,

Hence, the zeros of the given polynomials are

Obtain all zeros of the polynomial fx=2 x4+x3 14 x2 19 x 6, if two of its zeros are 2 and 1.

We know that, if

is a zero of a polynomial, and then

is a factor of

Since

and

are zeros of

Therefore

is a factor of

.Now, We divide

to find the other zeros of

By using division algorithm we have,

Hence, the zeros of the given polynomials are

Obtain all zeros of the polynomial fx=2 x4+x3 14 x2 19 x 6, if two of its zeros are 2 and 1.

We know that, if

is a zero of a polynomial, and then

is a factor of

Since

and

are zeros of

Therefore

is a factor of

.Now, We divide

to find the other zeros of

By using division algorithm we have,

Hence, the zeros of the given polynomials are

Obtain all zeros of the polynomial fx=2 x4+x3 14 x2 19 x 6, if two of its zeros are 2 and 1.

We know that, if

is a zero of a polynomial, and then

is a factor of

Since

and

are zeros of

Therefore

is a factor of

.Now, We divide

to find the other zeros of

By using division algorithm we have,

Hence, the zeros of the given polynomials are

(i) f(x) = x3 − 6x2 + 11x − 6, g(x) = x2 + x + 1

Obtain all zeros of the polynomial fx=2 x4+x3 14 x2 19 x 6, if two of its zeros are 2 and 1.

We know that, if

is a zero of a polynomial, and then

is a factor of

Since

and

are zeros of

Therefore

is a factor of

.Now, We divide

to find the other zeros of

By using division algorithm we have,

Hence, the zeros of the given polynomials are

Obtain all zeros of the polynomial fx=2 x4+x3 14 x2 19 x 6, if two of its zeros are 2 and 1.

We know that, if

is a zero of a polynomial, and then

is a factor of

Since

and

are zeros of

Therefore

is a factor of

.Now, We divide

to find the other zeros of

By using division algorithm we have,

Hence, the zeros of the given polynomials are

Obtain all zeros of the polynomial fx=2 x4+x3 14 x2 19 x 6, if two of its zeros are 2 and 1.

We know that, if

is a zero of a polynomial, and then

is a factor of

Since

and

are zeros of

Therefore

is a factor of

.Now, We divide

to find the other zeros of

By using division algorithm we have,

Hence, the zeros of the given polynomials are

Obtain all zeros of the polynomial fx=2 x4+x3 14 x2 19 x 6, if two of its zeros are 2 and 1.

We know that, if

is a zero of a polynomial, and then

is a factor of

Since

and

are zeros of

Therefore

is a factor of

.Now, We divide

to find the other zeros of

By using division algorithm we have,

Hence, the zeros of the given polynomials are

Obtain all zeros of the polynomial fx=2 x4+x3 14 x2 19 x 6, if two of its zeros are 2 and 1.

We know that, if

is a zero of a polynomial, and then

is a factor of

Since

and

are zeros of

Therefore

is a factor of

.Now, We divide

to find the other zeros of

By using division algorithm we have,

Hence, the zeros of the given polynomials are

Obtain all zeros of the polynomial fx=2 x4+x3 14 x2 19 x 6, if two of its zeros are 2 and 1.

We know that, if

is a zero of a polynomial, and then

is a factor of

Since

and

are zeros of

Therefore

is a factor of

.Now, We divide

to find the other zeros of

By using division algorithm we have,

Hence, the zeros of the given polynomials are

Obtain all zeros of the polynomial fx=2 x4+x3 14 x2 19 x 6, if two of its zeros are 2 and 1.

We know that, if

is a zero of a polynomial, and then

is a factor of

Since

and

are zeros of

Therefore

is a factor of

.Now, We divide

to find the other zeros of

By using division algorithm we have,

Hence, the zeros of the given polynomials are

Obtain all zeros of the polynomial f(x) = 2x4 + x3 − 14x2 − 19x − 6, if two of its zeros are −2 and −1.

Obtain all zeros of the polynomial fx=2 x4+x3 14 x2 19 x 6, if two of its zeros are 2 and 1.

We know that, if

is a zero of a polynomial, and then

is a factor of

Since

and

are zeros of

Therefore

is a factor of

.Now, We divide

to find the other zeros of

By using division algorithm we have,

Hence, the zeros of the given polynomials are

Obtain all zeros of the polynomial fx=2 x4+x3 14 x2 19 x 6, if two of its zeros are 2 and 1.

We know that, if

is a zero of a polynomial, and then

is a factor of

Since

and

are zeros of

Therefore

is a factor of

.Now, We divide

to find the other zeros of

By using division algorithm we have,

Hence, the zeros of the given polynomials are

Obtain all zeros of the polynomial fx=2 x4+x3 14 x2 19 x 6, if two of its zeros are 2 and 1.

We know that, if

is a zero of a polynomial, and then

is a factor of

Since

and

are zeros of

Therefore

is a factor of

.Now, We divide

to find the other zeros of

By using division algorithm we have,

Hence, the zeros of the given polynomials are

Obtain all zeros of the polynomial fx=2 x4+x3 14 x2 19 x 6, if two of its zeros are 2 and 1.

We know that, if

is a zero of a polynomial, and then

is a factor of

Since

and

are zeros of

Therefore

is a factor of

.Now, We divide

to find the other zeros of

By using division algorithm we have,

Hence, the zeros of the given polynomials are

Obtain all zeros of the polynomial fx=2 x4+x3 14 x2 19 x 6, if two of its zeros are 2 and 1.

We know that, if

is a zero of a polynomial, and then

is a factor of

Since

and

are zeros of

Therefore

is a factor of

.Now, We divide

to find the other zeros of

By using division algorithm we have,

Hence, the zeros of the given polynomials are

Obtain all zeros of the polynomial fx=2 x4+x3 14 x2 19 x 6, if two of its zeros are 2 and 1.

We know that, if

is a zero of a polynomial, and then

is a factor of

Since

and

are zeros of

Therefore

is a factor of

.Now, We divide

to find the other zeros of

By using division algorithm we have,

Hence, the zeros of the given polynomials are

Obtain all zeros of the polynomial fx=2 x4+x3 14 x2 19 x 6, if two of its zeros are 2 and 1.

We know that, if

is a zero of a polynomial, and then

is a factor of

Since

and

are zeros of

Therefore

is a factor of

.Now, We divide

to find the other zeros of

By using division algorithm we have,

Hence, the zeros of the given polynomials are

(i) f(x) = x3 − 6x2 + 11x − 6, g(x) = x2 + x + 1

Obtain all zeros of the polynomial fx=2 x4+x3 14 x2 19 x 6, if two of its zeros are 2 and 1.

We know that, if

is a zero of a polynomial, and then

is a factor of

Since

and

are zeros of

Therefore

is a factor of

.Now, We divide

to find the other zeros of

By using division algorithm we have,

Hence, the zeros of the given polynomials are

Obtain all zeros of the polynomial fx=2 x4+x3 14 x2 19 x 6, if two of its zeros are 2 and 1.

We know that, if

is a zero of a polynomial, and then

is a factor of

Since

and

are zeros of

Therefore

is a factor of

.Now, We divide

to find the other zeros of

By using division algorithm we have,

Hence, the zeros of the given polynomials are

Obtain all zeros of the polynomial fx=2 x4+x3 14 x2 19 x 6, if two of its zeros are 2 and 1.

We know that, if

is a zero of a polynomial, and then

is a factor of

Since

and

are zeros of

Therefore

is a factor of

.Now, We divide

to find the other zeros of

By using division algorithm we have,

Hence, the zeros of the given polynomials are

Obtain all zeros of the polynomial fx=2 x4+x3 14 x2 19 x 6, if two of its zeros are 2 and 1.

We know that, if

is a zero of a polynomial, and then

is a factor of

Since

and

are zeros of

Therefore

is a factor of

.Now, We divide

to find the other zeros of

By using division algorithm we have,

Hence, the zeros of the given polynomials are

Obtain all zeros of the polynomial fx=2 x4+x3 14 x2 19 x 6, if two of its zeros are 2 and 1.

We know that, if

is a zero of a polynomial, and then

is a factor of

Since

and

are zeros of

Therefore

is a factor of

.Now, We divide

to find the other zeros of

By using division algorithm we have,

Hence, the zeros of the given polynomials are

Obtain all zeros of the polynomial fx=2 x4+x3 14 x2 19 x 6, if two of its zeros are 2 and 1.

We know that, if

is a zero of a polynomial, and then

is a factor of

Since

and

are zeros of

Therefore

is a factor of

.Now, We divide

to find the other zeros of

By using division algorithm we have,

Hence, the zeros of the given polynomials are

Obtain all zeros of the polynomial fx=2 x4+x3 14 x2 19 x 6, if two of its zeros are 2 and 1.

We know that, if

is a zero of a polynomial, and then

is a factor of

Since

and

are zeros of

Therefore

is a factor of

.Now, We divide

to find the other zeros of

By using division algorithm we have,

Hence, the zeros of the given polynomials are

Obtain all zeros of the polynomial f(x) = 2x4 + x3 − 14x2 − 19x − 6, if two of its zeros are −2 and −1.

Obtain all zeros of the polynomial fx=2 x4+x3 14 x2 19 x 6, if two of its zeros are 2 and 1.

We know that, if

is a zero of a polynomial, and then

is a factor of

Since

and

are zeros of

Therefore

is a factor of

.Now, We divide

to find the other zeros of

By using division algorithm we have,

Hence, the zeros of the given polynomials are

Obtain all zeros of the polynomial fx=2 x4+x3 14 x2 19 x 6, if two of its zeros are 2 and 1.

We know that, if

is a zero of a polynomial, and then

is a factor of

Since

and

are zeros of

Therefore

is a factor of

.Now, We divide

to find the other zeros of

By using division algorithm we have,

Hence, the zeros of the given polynomials are

Obtain all zeros of the polynomial fx=2 x4+x3 14 x2 19 x 6, if two of its zeros are 2 and 1.

We know that, if

is a zero of a polynomial, and then

is a factor of

Since

and

are zeros of

Therefore

is a factor of

.Now, We divide

to find the other zeros of

By using division algorithm we have,

Hence, the zeros of the given polynomials are

Obtain all zeros of the polynomial fx=2 x4+x3 14 x2 19 x 6, if two of its zeros are 2 and 1.

We know that, if

is a zero of a polynomial, and then

is a factor of

Since

and

are zeros of

Therefore

is a factor of

.Now, We divide

to find the other zeros of

By using division algorithm we have,

Hence, the zeros of the given polynomials are

Obtain all zeros of the polynomial fx=2 x4+x3 14 x2 19 x 6, if two of its zeros are 2 and 1.

We know that, if

is a zero of a polynomial, and then

is a factor of

Since

and

are zeros of

Therefore

is a factor of

.Now, We divide

to find the other zeros of

By using division algorithm we have,

Hence, the zeros of the given polynomials are

Obtain all zeros of the polynomial fx=2 x4+x3 14 x2 19 x 6, if two of its zeros are 2 and 1.

We know that, if

is a zero of a polynomial, and then

is a factor of

Since

and

are zeros of

Therefore

is a factor of

.Now, We divide

to find the other zeros of

By using division algorithm we have,

Hence, the zeros of the given polynomials are

Obtain all zeros of the polynomial fx=2 x4+x3 14 x2 19 x 6, if two of its zeros are 2 and 1.

We know that, if

is a zero of a polynomial, and then

is a factor of

Since

and

are zeros of

Therefore

is a factor of

.Now, We divide

to find the other zeros of

By using division algorithm we have,

Hence, the zeros of the given polynomials are

(i) f(x) = x3 − 6x2 + 11x − 6, g(x) = x2 + x + 1

Q&a Wo

Q3 obtain all zeroes of the polynomial f x 2x4 x3 14x2 19x 6 if two of its zeroes are 2 and 1

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