Factor 5p^2+13p+6

Math
5p2+13p+6
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⋅6=30 and whose sum is b=13.
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Factor 13 out of 13p.
5p2+13(p)+6
Rewrite 13 as 3 plus 10
5p2+(3+10)p+6
Apply the distributive property.
5p2+3p+10p+6
5p2+3p+10p+6
Factor out the greatest common factor from each group.
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Group the first two terms and the last two terms.
(5p2+3p)+10p+6
Factor out the greatest common factor (GCF) from each group.
p(5p+3)+2(5p+3)
p(5p+3)+2(5p+3)
Factor the polynomial by factoring out the greatest common factor, 5p+3.
(5p+3)(p+2)
Factor 5p^2+13p+6

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