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

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: how can I factor by grouping this problem. 3a3+2a2+6a+4=      Log On


   



Question 687037: how can I factor by grouping this problem.
3a3+2a2+6a+4=

Answer by josh_jordan(263) About Me  (Show Source):
You can put this solution on YOUR website!
To factor by grouping, you want to find similar terms. With 3a%5E3%2B2a%5E2%2B6a%2B4, the easiest way to group is by looking at the numbers in front of the variables and seeing if any of the numbers are factors of each other. 3 and 6 are factors of 6, and 2 and 4 are factors of 4. So, let's try grouping 3a^3 and 6a together, and 2a^2 and 4 together:
%283a%5E3%2B6a%29%2B%282a%5E2%2B4%29
In the first set of parenthesis, we can factor out 3a:
3a%28a%5E2%2B2%29
In the second set of parenthesis, we can factor out a 2:
2%28a%5E2%2B2%29
Putting these both together, results in:
3a%28a%5E2%2B2%29%2B2%28a%5E2%2B2%29
As you can see, there are two sets of %28a%5E2%2B2%29
We can group these together, and then, in another set of parenthesis, group the remaining terms together:
%283a%2B2%29%28a%5E2%2B2%29, which is our final answer