Question

Factorize: x3–23x2+ 142 x -120

Answer 1

Explanation:

x³ - 23x² + 142x - 120

x³ - x² - 22x² + 22x + 120x - 120

x²(x - 1) - 22x(x - 1) + 120(x - 1)

(x - 1)(x² - 22x + 120)

(x - 1)(x² - 10x - 12x + 120)

(x - 1)[x(x - 10) - 12(x - 10)]

(x - 1) (x - 10) (x - 12)