Question

Factorise x^3+20+32x+13x^2​

Answer 1

Answer:

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)

Step-by-step explanation:

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Answer 2

Question-

Factorise x³+20+32x+13x²

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)