Question

Suppose the roots of a polynomial are −3, 4, 5, and −7. Which choice is a factor of the polynomial? A) (x + 5) B) (x − 3) C) (x − 4) D) (x − 7)

Answer 1

(x-4)

Explanation:

the roots of a polynomial are −3, 4, 5, and −7.

When 'a' is a root of the polynomial then (x-a) is a factor

Lets write the factors for all the root given

`(x-(-3))(x-4)(x-5)(x-7)`

`(x+3)(x-4)(x-5)(x-7)`

Check with the options, which factor is in our polynomial

(x-4) is one of the factor

Answer 2

C) (x - 4)

Explanation:

A root makes a factor be zero. The root of 4 will make the factor x-4 be equal to zero.