Question

b) (x 3 + 2x 2 − x − 2) ÷ (x − 1)

Answer 1

(x³ + 2x² - x - 2) ÷ (x - 1)

[(x²)(x+ 2) - (x+2)] ÷ (x - 1)

[(x+ 2)(x² - 1)] ÷ (x - 1)

[(x + 2)(x - 1)(x + 1)] ÷ (x - 1)

(x + 2)(x + 1)

x² + x + 2x + 2

x² + 3x + 2