What is a cubic polynomial function in standard form with zeros 1 - 2 and 2?

f (x) = x³ - x² - 4x + 4

Step-by-step explanation:

Given the zeros of a polynomial say x = a, x = b, x = c then

(x - a), (x - b), (x - c) are the factors of the polynomial and

f (x) is the product of the factors

here x = 1, x = - 2, x = 2, hence

(x - 1), (x + 2), (x - 2) are the factors and

f (x) = a (x - 1) (x + 2) (x - 2) ← a is a multiplier

let a = 1 and expand the factors

f (x) = (x - 1) (x² - 4)

= x³ - 4x - x² + 4

= x³ - x² - 4x + 4 ← in standard form