Question

Factorise : P(x)= x3 + 13x2 + 32x + 20​

Answer 1

Step-by-step explanation:

we have

f(x)=x³+13x²+32x +20

clearly f(-1)=(-1)³+13(-1)²+32(-1)+20

=-1+13-32+20

=0

it implies that x=-1 is a solution

i.e. x+1 is a factor

after dividing given expression with x+1 we get x²+12x+20

it implies

x³+13x²+32x +20 =(x+1 )(x²+12x+20)

=(x+1)(x+2)(x+12)