Factorize-x³⁺13x²+32 x 20

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Solution

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)

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Factories:
$x^{3} + 13 x^{2} + 32 x + 20$

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