SOLUTION EXAMPLE 2 Find the greatest common monomial factor Factor out the greatest common monomial factor. a. 12x + 42y a.a. The GCF of 12 and 42 is 6.

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SOLUTION EXAMPLE 2 Find the greatest common monomial factor Factor out the greatest common monomial factor. a. 12x + 42y a.a. The GCF of 12 and 42 is 6. The variables x and y have no common factor. So, the greatest common monomial factor of the terms is 6. ANSWER 12x + 42y = 6(2x + 7y)

EXAMPLE 2 Find the greatest common monomial factor b.b. The GCF of 4 and 24 is 4. The GCF of x 4 and x 3 is x 3. So, the greatest common monomial factor of the terms is 4x 3. ANSWER 4x x 3 = 4x 3 (x + 6) SOLUTION Factor out the greatest common monomial factor. b. 4x x 3

GUIDED PRACTICE for Example 2 2. Factor out the greatest common monomial factor from 14m + 35n. The GCF of 14 and 35 is 7. The variables m and n have no common factor. So, the greatest common monomial factor of the terms is 7. SOLUTION ANSWER 14m + 35n = 7(2m + 5n)