Factor 2m^2-5m-12

Math
2m2-5m-12
For a polynomial of the form ax2+bx+c, rewrite the middle term as a sum of two terms whose product is a⋅c=2⋅-12=-24 and whose sum is b=-5.
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Factor -5 out of -5m.
2m2-5(m)-12
Rewrite -5 as 3 plus -8
2m2+(3-8)m-12
Apply the distributive property.
2m2+3m-8m-12
2m2+3m-8m-12
Factor out the greatest common factor from each group.
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Group the first two terms and the last two terms.
(2m2+3m)-8m-12
Factor out the greatest common factor (GCF) from each group.
m(2m+3)-4(2m+3)
m(2m+3)-4(2m+3)
Factor the polynomial by factoring out the greatest common factor, 2m+3.
(2m+3)(m-4)
Factor 2m^2-5m-12

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