Factor 5v^2+31v-28

Math
5v2+31v-28
For a polynomial of the form ax2+bx+c, rewrite the middle term as a sum of two terms whose product is a⋅c=5⋅-28=-140 and whose sum is b=31.
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Factor 31 out of 31v.
5v2+31(v)-28
Rewrite 31 as -4 plus 35
5v2+(-4+35)v-28
Apply the distributive property.
5v2-4v+35v-28
5v2-4v+35v-28
Factor out the greatest common factor from each group.
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Group the first two terms and the last two terms.
(5v2-4v)+35v-28
Factor out the greatest common factor (GCF) from each group.
v(5v-4)+7(5v-4)
v(5v-4)+7(5v-4)
Factor the polynomial by factoring out the greatest common factor, 5v-4.
(5v-4)(v+7)
Factor 5v^2+31v-28

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