Question

Which values of x would make a polynomial equal to zero if the factors of thepolynomial were (x+6) and (x+9)?

Answer 1

Given

(x+6) and (x+9) are the factors of a polynomial.

To find: Which values of x would make a polynomial equal to zero?

Explanation:

It is given that,

(x+6) and (x+9) are the factors of a polynomial.

Then, the polynomial can be written as,

$p(x)=(x+6)(x+9)$

Also, if (x+a) is a factor of a polynomial p(x).

Then, p(-a)=0.

Therefore,

For the factors (x+6) and (x+9),

The polynomial p(x) is zero at x=-6, and x=-9.

Hence, the answer is x = -6, -9.