Question

Given that p(-2) = 0 and p() = 0, which binomials are possible factors of p(x)?

Answer 1

Possible factors of the polynomial p(x) given p(-2) = 0 and p(0) = 0 are (x + 2) and x.

Step-by-step explanation:

The question asks about the factors of a polynomial p(x) given that p(-2) = 0 and p(0) = 0. If p(-2) = 0, one of the possible factors of p(x) is (x + 2) because setting x = -2 in this factor gives 0, which satisfies the condition. Similarly, if p(0) = 0, then x could be a factor since any number multiplied by 0 is 0. So, the two possible factors of p(x) are (x + 2) and x.