Question

Factorize x3-2x2-5x+6

Answer 1

Step-by-step explanation:

x3+2x2−5x−6x3+2x2−5x−6

=x3+x2+x2−5x−6=x3+x2+x2−5x−6

=x2(x+1)+x2+x−6x−6=x2(x+1)+x2+x−6x−6

=x2(x+1)+x(x+1)−6(x+1)=x2(x+1)+x(x+1)−6(x+1)

=(x+1)(x2+x−6)=(x+1)(x2+x−6)

=(x+1)(x2+3x−2x−6)=(x+1)(x2+3x−2x−6)

=(x+1)[x(x+3)−2(x+3)]=(x+1)[x(x+3)−2(x+3)]

=(x+1)(x+3)(x−2)