SOLUTION: How can I factor by grouping? x3 + x2 + 2x + 2

Question 262783: How can I factor by grouping?
x3 + x2 + 2x + 2
Answer by butterfliiizzz(18) (Show Source): You can put this solution on YOUR website!
x^3 + x^2 + 2x + 2
First we look to see if there is a greatest common factor (GCF). x would have been the GCF, except that the last term doesn't have an x, so that won't work. There is no GCF, so next we group terms with common factors:
(x^3 + x^2) + (2x + 2)
Then we remove the greatest common factor of each group (and we need to make sure that there will be a common factor after this process)
x^2(x + 1) + 2 (x + 1) Now we use the distributive property to rewrite the problem:
(x^2 + 2) (x + 1)
The problem is now factored.
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