Factor 6a^2-7a-3

Math
6a2-7a-3
For a polynomial of the form ax2+bx+c, rewrite the middle term as a sum of two terms whose product is a⋅c=6⋅-3=-18 and whose sum is b=-7.
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Factor -7 out of -7a.
6a2-7(a)-3
Rewrite -7 as 2 plus -9
6a2+(2-9)a-3
Apply the distributive property.
6a2+2a-9a-3
6a2+2a-9a-3
Factor out the greatest common factor from each group.
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Group the first two terms and the last two terms.
(6a2+2a)-9a-3
Factor out the greatest common factor (GCF) from each group.
2a(3a+1)-3(3a+1)
2a(3a+1)-3(3a+1)
Factor the polynomial by factoring out the greatest common factor, 3a+1.
(3a+1)(2a-3)
Factor 6a^2-7a-3

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