Question

8. Factorize x³-10x²-53x-42
by using factor theorem​

Answer 1

Explanation:

x³ - 10x² - 53x - 42

= x³ + x² - 11x² - 11x - 42x - 42

= x²(x + 1) - 11x(x + 1) - 42(x + 1)

= (x + 1)(x² - 11x - 42)

= (x + 1)(x² - 14x +3x - 42)

= (x + 1){x(x - 14) + 3(x - 14) }

= (x + 1)(x + 3)(x - 14)

Hence, (x + 1), (x + 3) and (x - 14) are factors of x³ - 10x² - 53x - 42

Answer 2

Answer:

The answer is

(x+1)(x+3)(x-14)