SOLUTION: Factor by grouping x^3 - 8x^2 + 5x - 40

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Question 173191This question is from textbook Introductory Algebra
: Factor by grouping
x^3 - 8x^2 + 5x - 40 This question is from textbook Introductory Algebra

Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!

x%5E3-8x%5E2%2B5x-40 Start with the given expression


%28x%5E3-8x%5E2%29%2B%285x-40%29 Group like terms


x%5E2%28x-8%29%2B5%28x-8%29 Factor out the GCF x%5E2 out of the first group. Factor out the GCF 5 out of the second group


%28x%5E2%2B5%29%28x-8%29 Since we have the common term x-8, we can combine like terms


So x%5E3-8x%5E2%2B5x-40 factors to %28x%5E2%2B5%29%28x-8%29