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Divide (x^3+2x^2-x-2) by (x-1)

Divide (x^3+2x^2-x-2) by (x-1)
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Divide (x^3+2x^2-x-2) by (x-1)

User Abdool
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1 Answer

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(x^3+2x^2-x-2)/((x-1)) =x^2+3x+2 \\ \\ x^3+2x^2-x-2= \\= x^2(x+2)-(x+2) \\ =(x+2)(x^2-1)=(x+2)(x-1)(x+1) \\ \\ (x^3+2x^2-x-2)/((x-1)) = ((x+2)(x-1)(x+1))/(x-1) =(x+2)(x+1)=x^2+3x+2
User Steve Lianoglou
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