Question

Complete the steps to factor the polynomial by grouping.

Answer 1

P(x) = x³ + 5x² - x - 5

P(x) = x²(x + 5) - (x + 5)

P(x) = (x² - 1)(x + 5)

P(x) = (x - 1)(x + 1)(x + 5)

(x - 1)(x + 1)(x + 5) = 0

x - 1 = 0, so x = 1.

x + 1 = 0, so x = -1.

x + 5 = 0, so x = -5.