Factor 12m^2+11m-15

12m2+11m-15

For a polynomial of the form ax2+bx+c, rewrite the middle term as a sum of two terms whose product is a⋅c=12⋅-15=-180 and whose sum is b=11.

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Factor 11 out of 11m.

12m2+11(m)-15

Rewrite 11 as -9 plus 20

12m2+(-9+20)m-15

Apply the distributive property.

12m2-9m+20m-15

Factor out the greatest common factor from each group.

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Group the first two terms and the last two terms.

(12m2-9m)+20m-15

Factor out the greatest common factor (GCF) from each group.

3m(4m-3)+5(4m-3)

Factor the polynomial by factoring out the greatest common factor, 4m-3.

(4m-3)(3m+5)

Factor 12m^2+11m-15