Factor 2y^2+11y+9

Math
2y2+11y+9
For a polynomial of the form ax2+bx+c, rewrite the middle term as a sum of two terms whose product is a⋅c=2⋅9=18 and whose sum is b=11.
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Factor 11 out of 11y.
2y2+11(y)+9
Rewrite 11 as 2 plus 9
2y2+(2+9)y+9
Apply the distributive property.
2y2+2y+9y+9
2y2+2y+9y+9
Factor out the greatest common factor from each group.
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Group the first two terms and the last two terms.
(2y2+2y)+9y+9
Factor out the greatest common factor (GCF) from each group.
2y(y+1)+9(y+1)
2y(y+1)+9(y+1)
Factor the polynomial by factoring out the greatest common factor, y+1.
(y+1)(2y+9)
Factor 2y^2+11y+9

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