Factor 5v^2+8v+3 - Math help

5v2+8v+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=5⋅3=15 and whose sum is b=8.

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Factor 8 out of 8v.

5v2+8(v)+3

Rewrite 8 as 3 plus 5

5v2+(3+5)v+3

Apply the distributive property.

5v2+3v+5v+3

Factor out the greatest common factor from each group.

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Group the first two terms and the last two terms.

(5v2+3v)+5v+3

Factor out the greatest common factor (GCF) from each group.

v(5v+3)+1(5v+3)

Factor the polynomial by factoring out the greatest common factor, 5v+3.

(5v+3)(v+1)

Factor 5v^2+8v+3

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