Question

If the factors of a polynomial are x+2 and x+6, what values of x make that polynomial 0?

Answer 1

We have a polynomial with factors (x+2) and (x+6), thats mean that the polynomial has the form:

$P(x)\approx(x+2)\cdot(x+6)$

Q) The question ask us about the values of x that make that polynomial equal to 0. i.e we want to find the values of x such that we have:

$P(x)\approx(x+2)\cdot(x+6)=0$

A) Looking the last equation we see that if we replace x by -2 or x by -6 we get the polynomial equal to 0!

So the correct answer is letter A.

$A\text{.-}2\text{ and -6}$