Find the factos

Question

Find the factors of X³ - 11x² + 30x

Answer 1

x³ - 11x² + 30x = 0

x(x² - 11x + 30) = 0       (take x as common )

Zero product property x = 0 or x² - 11x + 30 = 0

x² - 11x + 30 = 0

x² - 5x   - 6x + 30 = 0

x ( x - 5) - 6 (x - 5) = 0

(x - 6) (x -5) = 0

Zero product property (x - 6) = 0 or (x -5) = 0

x = 6 and x = 5

Factors are 0, 5, 6.

Comments

The factors of x³ - 11x² + 30x is x, (x - 5) and (x - 6).