Factor 56v^2+17v-3

Math
56v2+17v-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=56⋅-3=-168 and whose sum is b=17.
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Factor 17 out of 17v.
56v2+17(v)-3
Rewrite 17 as -7 plus 24
56v2+(-7+24)v-3
Apply the distributive property.
56v2-7v+24v-3
56v2-7v+24v-3
Factor out the greatest common factor from each group.
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Group the first two terms and the last two terms.
(56v2-7v)+24v-3
Factor out the greatest common factor (GCF) from each group.
7v(8v-1)+3(8v-1)
7v(8v-1)+3(8v-1)
Factor the polynomial by factoring out the greatest common factor, 8v-1.
(8v-1)(7v+3)
Factor 56v^2+17v-3

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