Question

Factorize : x² + 13x² + 32x+2​

Answer 1

The value of x

3

+13x

2

+32x+20 is

x

3

+x

2

+12x

2

+12x+20x+20

=x

2

(x+1)+12x(x+1)+20(x+1)

=(x−1)(x

2

+12x+20)

=(x−1)(x

2

+10x+2x+20)

=(x+1)[x(x+10)+2(x+10)]

=(x+1)(x+2)(x+10)