Question

factorize :
x^3 - 12x^2+47x-60

Answer 1

Answer:

x³ - 12x² + 47x - 60 =  (x - 3)·(x - 4)·(x - 5)

Step-by-step explanation:

x³ - 12x² + 47x - 60

The positive factors of 60 : 1, 2 , 3, 4, 5, 6, 10, 12, 15, 20, 30

Take the factor 3

⇒ x³ - 12x² + 47x - 60

⇒ x³ - 3x² - 9x² + 27x + 20x - 60

⇒ x²·(x - 3) - 9x·( x - 3) + 20x - 60

⇒ x²·(x - 3) - 9x·( x - 3) + 20·(x - 3)

⇒ (x - 3) · ( x² - 9x + 20)

⇒ (x - 3) · ( x² - 5x - 4x + 20)

⇒ (x - 3) · [ x·(x - 5) - 4·(x - 5) ]

⇒ (x - 3)·(x - 4)·(x - 5)