Question

Write f(x) in a non-factored way from polynomial equation f(x)=(x+2)(-x+3)(x-2)?

Answer 1

f(x) = -x³ + 3x² + 4x - 12

Explanation:

f(x)=(x+2)(-x+3)(x-2)

Step 1. Use the difference of two squares

(x + 2)(x - 2) = x² - 4

f(x) = (-x + 3)(x² - 4)

Step 2. Long multiplication

x² - 4

-x + 3

-x³ + 4x

+ 3x² - 12

-x³ + 3x² + 4x - 12

f(x) = -x³ + 3x² + 4x - 12