Polynomial Functions

Question

Determine whether the binomial is a factor of the polynomial function. Explain

f(x)=x^2+2x-4; x-2

Answer 1

By the Factor Theorem, x - c is a factor of a polynomial function f(x) only when f(c) = 0.

f(x) = x² + 2x - 4

f(2) = 4 + 4 - 4 ≠ 0. So, by the Factor Theorem, x - 2 is not a factor of f(x).