Factor 5v^2+8v+3

Math
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
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)
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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