Factor 5v^2+4v-1

Math
5v2+4v-1
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⋅-1=-5 and whose sum is b=4.
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Factor 4 out of 4v.
5v2+4(v)-1
Rewrite 4 as -1 plus 5
5v2+(-1+5)v-1
Apply the distributive property.
5v2-1v+5v-1
5v2-1v+5v-1
Factor out the greatest common factor from each group.
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Group the first two terms and the last two terms.
(5v2-1v)+5v-1
Factor out the greatest common factor (GCF) from each group.
v(5v-1)+1(5v-1)
v(5v-1)+1(5v-1)
Factor the polynomial by factoring out the greatest common factor, 5v-1.
(5v-1)(v+1)
Factor 5v^2+4v-1

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