Factor 12m^2+11m-15

Math
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
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)
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

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