Factor 56v^2+17v-3

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

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)

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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