What if you had a polynomial expression like
Fisch Video: Factoring Polynomials by Grouping
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CK12 Foundation: 0913S Factoring By Grouping
Guidance
Sometimes, we can factor a polynomial containing four or more terms by factoring common monomials from groups of terms. This method is called factor by grouping.
The next example illustrates how this process works.
Example A
Factor
Solution
There is no factor common to all the terms. However, the first two terms have a common factor of 2 and the last two terms have a common factor of
Now we notice that the binomial
Example B
Factor
Solution
We factor 3x from the first two terms and factor 4 from the last two terms:
Now factor
Now the polynomial is factored completely.
Practice
Factor by grouping.

6x2−9x+10x−15 
5x2−35x+x−7 
9x2−9x−x+1 
4x2+32x−5x−40 
2a2−6ab+3ab−9b2 
5x2+15x−2xy−6y
Additional Practice Opportunities (including selfcheck)
 Braingenie: Factoring Polynomials by Grouping Terms