SOLUTION: Factor by grouping. x^3 – 5x^2 + 2x – 10.

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: Factor by grouping. x^3 – 5x^2 + 2x – 10.       Log On


   

Question 117165: Factor by grouping. x^3 – 5x^2 + 2x – 10.
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!

x%5E3-5x%5E2%2B2x-10 Start with the given expression

%28x%5E3-5x%5E2%29%2B%282x-10%29 Group like terms


x%5E2%28x-5%29%2B2%28x-5%29 Factor out the GCF x%5E2 out of the first group. Factor out the GCF 2 out of the second group


%28x%5E2%2B2%29%28x-5%29 Since we have the common term x-5, we can combine like terms

So x%5E3-5x%5E2%2B2x-10 factors to %28x%5E2%2B2%29%28x-5%29