SOLUTION: How do I: Factor by grouping: 3x^3+2x^2+ 3x+2 Thank you Monek

Question 607925: How do I: Factor by grouping: 3x^3+2x^2+ 3x+2
Thank you
Monek
Answer by KMST(5328) (Show Source): You can put this solution on YOUR website!
Not all polynomials can be factored by grouping, but it is helpful to be able to recognize when it will work and to know how to do it.
Look for patterns to group by.
In this case, two of the for terms have 3 for a coefficient, and the coefficient for the other two terms is 2, so that gives you a hint on how to group them:

Now, you look for common factors to take out. Find all common factors, not only the 3 and the 2 you had seen as common coefficients before.

At this point, you have two terms: and
with as a common factor, so you take out that common factor and you have the complete factorization.

Note: cannot be factorized further with real number coefficients. It would take imaginary numbers.
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