Question

Factorize this x^3+13x^2 +32x+20​

Answer 1

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=>X^3+13x^2+32x+20=0

Put x=1

Then,

=>1+13+32+20=0

=>66=0

=>LHS /=RHS.

put x=-1

Then,

=>-1+13-32+20=0

=>+33-33=0

=>0=0

=>LHS=RHS

So, x^3+13x^2+32x+20=0 is divides by (x+1) then we get x^2+12x+20

(x^3+13x^2+32x+20)=(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)

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