SOLUTION: factor by grouping x^2 – 6x + 5x – 30

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Question 738351: factor by grouping x^2 – 6x + 5x – 30
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!

x%5E2-6x%2B5x-30 Start with the given expression


%28x%5E2-6x%29%2B%285x-30%29 Group the terms in two pairs


x%28x-6%29%2B5%28x-6%29 Factor out the GCF x out of the first group. Factor out the GCF 5 out of the second group


%28x%2B5%29%28x-6%29 Since we have the common term x-6, we can combine like terms


So x%5E2-6x%2B5x-30 factors to %28x%2B5%29%28x-6%29


In other words, x%5E2-6x%2B5x-30=%28x%2B5%29%28x-6%29