a polynomial function is defined as f(x)=ax^3+bx^2+cx+d, where a,b,c, and d are integers. If f(-2)=0 which statement is true?

Question

A. 2 is a zero of f(x)
B. (X-2) must be a factor of f(x)
C. (X+2) must be a factor of f(x)
D. When f(x) is divided by (x-2), the remainder is 0.

Answer 1

the Remainder Theorem says C
we know nothing about f(2) or what happens when f(x) is divided by (x-2)