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

Question

Mathematics

Ashton

9 September, 15:53

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

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Answers (1)

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Lewis Sutton · Answer 1

f (x) = - x³ + 3x² + 4x - 12

Step-by-step 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