SOLUTION: x cubed -3x squared + x - 3

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Question 250793: x cubed -3x squared + x - 3
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!

x%5E3-3x%5E2%2Bx-3 Start with the given expression


%28x%5E3-3x%5E2%29%2B%28x-3%29 Group like terms


x%5E2%28x-3%29%2B1%28x-3%29 Factor out the GCF x%5E2 out of the first group. Factor out the GCF 1 out of the second group


%28x%5E2%2B1%29%28x-3%29 Since we have the common term x-3, we can combine like terms


So x%5E3-3x%5E2%2Bx-3 factors to %28x%5E2%2B1%29%28x-3%29


In other words, x%5E3-3x%5E2%2Bx-3=%28x%5E2%2B1%29%28x-3%29