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Factoring by Grouping

In this video, we are going to look at how to factor by grouping.
For example:
To factor 12x^3+18x^2+10x+15, first think about it in two pieces, cutting it in half. Then we will look at the first two terms, and take out the greatest common factor, which is 6x^2. This will leave us with
6x^2(2x+3)
Then, we do the same thing for the next two terms. The greatest common factor here is 5. When we take out the greatest common factor, we are left with
5(2x+3)
Notice that the same exact factors are written in both sets of parentheses. From here we can factor out the (2x+3) from each term. This will result in a final answer of
(2x+3)(6x^2+5)

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