Question

Factorise:- (ii) x3-6x2+11x-6
from polynomial's chapter
class 9th ​

Answer 1

Answer:

x

3

−6x

2

+11x−6

=x

3

−5x

2

−x

2

+6x+5x−6

=x

3

−5x

2

+6x−x

2

+5x−6

=x(x

2

−5x+6)−1(x

2

−5x+6)

=(x−1)(x

2

−5x+6)

=(x−1)(x

2

−2x−3x+6)

=(x−1)[x(x−2)−3(x−2)]

=(x−1)(x−2)(x−3)