Question

Find (x+4) (x²+x-2). Write your answer in standard form.
The product is

Answer 1

x³ + 5x² + 2x - 8

Explanation:

1) Distribute

(x + 4) (x² + x - 2)

x(x² + x - 2) + 4 ( x² + x - 2)

2) Distribute

x(x² + x - 2) + 4 (x² + x - 2)

x³ + x² - 2x + 4 (x² + x - 2)

3) Distribute

x³ + x² - 2x + 4 (x² + x - 2)

x³ + x² - 2x + 4x² + 4x - 8

4) Combine like terms

x³ + x² - 2x + 4x² + 4x - 8

x³ + 5x² - 2x + 4x - 8

5) Combine like terms

x³ + 5x² - 2x + 4x - 8

x³ + 5x² + 2x - 8