Question

factorise x^3+13x^2+32x+20​

Answer 1

Answer:

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

Step-by-step explanation:

Let p(x)= x³+13x²+32x+30

p(-1)=-1+13-32+20

=-33+33

=0

Therefore,(x+1) is a facror of p(x)

On dividing (x+1) by p(x) we get,

p(x) (x+1) = x²+12x+20

Thus,

= (x+1)(x²+10x+2x+20)

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

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

Hence, x³+12x²+32x+20= (x+1)(x+2)(x+10)

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