Question

P(2) = 14 and p(-3) = 0. Write one factor of p(x) and explain how you know

Answer 1

Explanation:

Given p(2) = 14 and p(-3) = 0, according to factor theorem, if a polynomial p(x) is divided by a function x+c where c is a constant, then x+c is said to be a factor of p(x) if p(-c) = 0 i.e if the remainder is zero after the division.

According to the question, it can be seen that p(-3) = 0. This means that the function x+3 is said to be factor if the remainder of the polynomial is zero when divided the polynomial because the reminder leaves zero after division where c = 3