Question

factorise

X³+13x²+32x+20.​

Answer 1

Answer:

x³+13x²+32x+20

=(x+1)(x²+12x+20)   [∵, for x=-1, x³+13x²+32x+20=-1+13-32+20=0]

=(x+1)(x²+10x+2x+20)

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

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

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

Answer 2

Answer:

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

Step-by-step explanation:

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

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)(x+10)