Question

factorise using factor theorem x^3 - 2x^2 - 9x - 5

Answer 1

Answer:

x

3

−3x

2

−9x−5

⇒x

2

(x+1)−4x(x+1)−5(x+1)

⇒(x+1)(x

2

−4x+5)

⇒(x+1)(x

2

−5x+x−5)

⇒(x+1)(x(x−5)+1(x−5))

⇒(x+1)(x−5)(x+1)

⇒(x

2

−1)(x−5)