Question

What is a cubic polynomial function in standard form with zeros 1, –2, and 2?
A. = x3 + x2 – 3x + 4
B. = x3 + x2 – 4x – 2
C. = x3 + x2 + 4x + 4
D. = x3 – x2 – 4x + 4

Answer 1

x = 1 means that one of the factors is x - 1 = 0
x = -2 means that one of the factors is x + 2 = 0
x = 2 means that one of the factors is x -2 = 0

(x - 1)(x - 2)(x + 2) = 0
(x - 1)(x^2 - 4) = 0
x^3 – x^2 – 4x + 4 = 0

Your answer is D