SOLUTION: f(x)=x³+3x²-x-3; f(1) = 0

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Question 1189859: f(x)=x³+3x²-x-3; f(1) = 0

Answer by ikleyn(52906)   (Show Source): You can put this solution on YOUR website!
.

Factorize by grouping


    f(x) = x^3 + 3x^2 - x - 3 = (x^3 - x) + (3x^2 - 3) = x*(x^2-1) + 3*(x^2-1) = 


         = (x+3)*(x^2-1) = (x+3)*(x+1)*(x-1).



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