CameraIcon

SearchIcon

MyQuestionIcon

1

You visited us 1 times! Enjoying our articles? Unlock Full Access!

Factor Theorem

Obtain all ze...

Question

Obtain all zeros of f(x) = x³ + 13x² + 32x + 20, if one of its zeros is −2.

Open in App

Solution

Since −2 is one zero of .

Therefore, we know that, if is a zero of a polynomial, then is a factor of is a factor of .

Now, we divide by to find the others zeros of .

By using that division algorithm we have,

Hence, the zeros of the given polynomials are .

Suggest Corrections

thumbs-up

13

Similar questions

Q. In the following polynomial, its one of zero is -2, find all other zeroes.

f (x) = x^{3} + 13 x^{2} + 32 x + 20

If one of the zeros of $f (x) = x^{3} + 13 x^{2} + 32 x + 20$ is $- 2$ then all its zeros are

A. $2, 13, 11$

B. $- 10, - 1, - 2$

C. $4, - 2, - 10$

D. $- 2, 5, 10$

Q. Find all the zeroes of the polynomial

(x) = x^{3} + 13 x^{2} + 32 x + 20,

if one of its zeroes is -2.

Q. Find the zeroes of the polynomial

p (x) = x^{3} - 13 x^{2} + 32 x - 60

, if it is given that the product of its two zeroes is

10

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

View More

Join BYJU'S Learning Program

similar_icon

Related Videos

lock

Factor Theorem

MATHEMATICS

Watch in App

explore_more_icon

Explore more

Standard X Mathematics

Join BYJU'S Learning Program

CrossIcon