Factor 2a^2+5a-12

Math
2a2+5a-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 5a.
2a2+5(a)-12
Rewrite 5 as -3 plus 8
2a2+(-3+8)a-12
Apply the distributive property.
2a2-3a+8a-12
2a2-3a+8a-12
Factor out the greatest common factor from each group.
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Group the first two terms and the last two terms.
(2a2-3a)+8a-12
Factor out the greatest common factor (GCF) from each group.
a(2a-3)+4(2a-3)
a(2a-3)+4(2a-3)
Factor the polynomial by factoring out the greatest common factor, 2a-3.
(2a-3)(a+4)
Factor 2a^2+5a-12

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