Factor 5r^2+11r+6

Math
5r2+11r+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=11.
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Factor 11 out of 11r.
5r2+11(r)+6
Rewrite 11 as 5 plus 6
5r2+(5+6)r+6
Apply the distributive property.
5r2+5r+6r+6
5r2+5r+6r+6
Factor out the greatest common factor from each group.
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Group the first two terms and the last two terms.
(5r2+5r)+6r+6
Factor out the greatest common factor (GCF) from each group.
5r(r+1)+6(r+1)
5r(r+1)+6(r+1)
Factor the polynomial by factoring out the greatest common factor, r+1.
(r+1)(5r+6)
Factor 5r^2+11r+6

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