I need and answer

Question

Use the remainder theorem to determine whether x - 2 is a factor of	f(x) = x3 + 3x2 - x - 18	A)	Yes, x - 2 is a factor of f(x) because f(2) = 0
B)	No, x - 2 is not a factor of f(x) because f(2) = 0
C)	Yes, x - 2 is a factor of f(x) because f(-2) = -12
D)	No, x - 2 is not a factor of f(x) because f(-2) = -12

Answer 1

x - 2 is a factor of a polynomial function f(x) when f(2) = 0.

f(x) = x³ + 3x² - x - 18

f(2) = 8 + 12 - 2 - 18 = 0

Since f(2) = 0, x - 2 is a factor of f(x).