Question

factorise x^3+13x^2+32x+20

Answer 1

x3 + 13x2 + 32x + 20

start by sub x= 1,

-1,.... to get p(x)=0

now

p(-1) = -1 + 13 - 32 + 20 = -33 + 33 = 0

so x+1 is a factor (factor theorem)

now divide x3 + 13x2 + 32x + 20 by x+1

(long division)

you will get remainder zero, and quotient =x2 + 12x + 20

so,

Divident =divisor x quotient +remainder

x3 + 13x2 + 32x + 20 = (x + 1)(x2 + 12x + 20)......factorize x2 + 12x + 20 by spliting middle term

Answer 2

x^3+13x^2+32x+20

x^3+13x^2+32x+20