TUTORIALS:

Factoring Polynomials
Factoring a Polynomial Whose GCF is a Binomial
You have already seen how to factor a polynomial when the GCF of the
terms is a monomial.
In this example, we factor out the monomial 2x.
10x^{2} + 8x
= 2x Â· 5x + 2x
Â· 4
= 2x(5x + 4)
We can also factor a polynomial when the GCF of its terms is a binomial.
Here, the binomial (x + 7) is a factor of
each term.
So we factor out (x + 7). 
= 5x(x + 7) + 4(x + 7)
= (x + 7)(5x + 4) 
Example 1
Factor: 2m(6n  5)  7(6n  5)
Solution
The GCF of the terms is the binomial
(6n  5).
Factor out the GCF. 
2m(6n  5)  7(6n  5)
= (6n  5)(2m  7) 
