Factor 3v^2-26v-9

Math
3v2-26v-9
For a polynomial of the form ax2+bx+c, rewrite the middle term as a sum of two terms whose product is a⋅c=3⋅-9=-27 and whose sum is b=-26.
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Factor -26 out of -26v.
3v2-26(v)-9
Rewrite -26 as 1 plus -27
3v2+(1-27)v-9
Apply the distributive property.
3v2+1v-27v-9
Multiply v by 1.
3v2+v-27v-9
3v2+v-27v-9
Factor out the greatest common factor from each group.
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Group the first two terms and the last two terms.
(3v2+v)-27v-9
Factor out the greatest common factor (GCF) from each group.
v(3v+1)-9(3v+1)
v(3v+1)-9(3v+1)
Factor the polynomial by factoring out the greatest common factor, 3v+1.
(3v+1)(v-9)
Factor 3v^2-26v-9

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