SOLUTION: 8w^5+12w^2-10w^3-15 factor by grouping

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Question 200040: 8w^5+12w^2-10w^3-15 factor by grouping
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!

8w%5E5%2B12w%5E2-10w%5E3-15 Start with the given expression


%288w%5E5%2B12w%5E2%29%2B%28-10w%5E3-15%29 Group like terms


4w%5E2%282w%5E3%2B3%29-5%282w%5E3%2B3%29 Factor out the GCF 4w%5E2 out of the first group. Factor out the GCF -5 out of the second group


%284w%5E2-5%29%282w%5E3%2B3%29 Since we have the common term 2w%5E3%2B3, we can combine like terms


So 8w%5E5%2B12w%5E2-10w%5E3-15 factors to %284w%5E2-5%29%282w%5E3%2B3%29