Factor 2y^2-y-6

Math
2y2-y-6
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⋅-6=-12 and whose sum is b=-1.
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Factor -1 out of -y.
2y2-(y)-6
Rewrite -1 as 3 plus -4
2y2+(3-4)y-6
Apply the distributive property.
2y2+3y-4y-6
2y2+3y-4y-6
Factor out the greatest common factor from each group.
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Group the first two terms and the last two terms.
(2y2+3y)-4y-6
Factor out the greatest common factor (GCF) from each group.
y(2y+3)-2(2y+3)
y(2y+3)-2(2y+3)
Factor the polynomial by factoring out the greatest common factor, 2y+3.
(2y+3)(y-2)
Factor 2y^2-y-6

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