Factor 9y^2+76y-45

Math
9y2+76y-45
For a polynomial of the form ax2+bx+c, rewrite the middle term as a sum of two terms whose product is a⋅c=9⋅-45=-405 and whose sum is b=76.
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Factor 76 out of 76y.
9y2+76(y)-45
Rewrite 76 as -5 plus 81
9y2+(-5+81)y-45
Apply the distributive property.
9y2-5y+81y-45
9y2-5y+81y-45
Factor out the greatest common factor from each group.
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Group the first two terms and the last two terms.
(9y2-5y)+81y-45
Factor out the greatest common factor (GCF) from each group.
y(9y-5)+9(9y-5)
y(9y-5)+9(9y-5)
Factor the polynomial by factoring out the greatest common factor, 9y-5.
(9y-5)(y+9)
Factor 9y^2+76y-45

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