SOLUTION: Factor By Grouping: 4x^3-6x^2+10x-15

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Question 593530: Factor By Grouping:
4x^3-6x^2+10x-15
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!

4x%5E3-6x%5E2%2B10x-15 Start with the given expression


%284x%5E3-6x%5E2%29%2B%2810x-15%29 Group the terms in two pairs


2x%5E2%282x-3%29%2B5%282x-3%29 Factor out the GCF 2x%5E2 out of the first group. Factor out the GCF 5 out of the second group


%282x%5E2%2B5%29%282x-3%29 Since we have the common term 2x-3, we can combine like terms


So 4x%5E3-6x%5E2%2B10x-15 factors to %282x%5E2%2B5%29%282x-3%29


In other words, 4x%5E3-6x%5E2%2B10x-15=%282x%5E2%2B5%29%282x-3%29 for all values of x