Factor 8u^2+13u+5

Math
8u2+13u+5
For a polynomial of the form ax2+bx+c, rewrite the middle term as a sum of two terms whose product is a⋅c=8⋅5=40 and whose sum is b=13.
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Factor 13 out of 13u.
8u2+13(u)+5
Rewrite 13 as 5 plus 8
8u2+(5+8)u+5
Apply the distributive property.
8u2+5u+8u+5
8u2+5u+8u+5
Factor out the greatest common factor from each group.
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Group the first two terms and the last two terms.
(8u2+5u)+8u+5
Factor out the greatest common factor (GCF) from each group.
u(8u+5)+1(8u+5)
u(8u+5)+1(8u+5)
Factor the polynomial by factoring out the greatest common factor, 8u+5.
(8u+5)(u+1)
Factor 8u^2+13u+5

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