SOLUTION: explain how to factor by grouping this problem. 3a3 + 2a2+6a+4=

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Question 687075: explain how to factor by grouping this problem.
3a3 + 2a2+6a+4=
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!

3a%5E3%2B2a%5E2%2B6a%2B4 Start with the given expression


%283a%5E3%2B2a%5E2%29%2B%286a%2B4%29 Group the terms in two pairs


a%5E2%283a%2B2%29%2B2%283a%2B2%29 Factor out the GCF a%5E2 out of the first group. Factor out the GCF 2 out of the second group


%28a%5E2%2B2%29%283a%2B2%29 Since we have the common term 3a%2B2, we can combine like terms


So 3a%5E3%2B2a%5E2%2B6a%2B4 factors to %28a%5E2%2B2%29%283a%2B2%29


In other words, 3a%5E3%2B2a%5E2%2B6a%2B4=%28a%5E2%2B2%29%283a%2B2%29