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You have already seen how to factor a polynomial when the GCF of the terms is a monomial.
10x2 + 8x
= 2x · 5x + 2x · 4
= 2x(5x + 4)
We can also factor a polynomial when the GCF of its terms is a binomial.
So we factor out (x + 7).
= (x + 7)(5x + 4)
Example 1
Factor: 2m(6n - 5) - 7(6n - 5)
Solution
Factor out the GCF.
= (6n - 5)(2m - 7)
