Factor 15y^2-49y-22

Math
15y2-49y-22
For a polynomial of the form ax2+bx+c, rewrite the middle term as a sum of two terms whose product is a⋅c=15⋅-22=-330 and whose sum is b=-49.
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Factor -49 out of -49y.
15y2-49(y)-22
Rewrite -49 as 6 plus -55
15y2+(6-55)y-22
Apply the distributive property.
15y2+6y-55y-22
15y2+6y-55y-22
Factor out the greatest common factor from each group.
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Group the first two terms and the last two terms.
(15y2+6y)-55y-22
Factor out the greatest common factor (GCF) from each group.
3y(5y+2)-11(5y+2)
3y(5y+2)-11(5y+2)
Factor the polynomial by factoring out the greatest common factor, 5y+2.
(5y+2)(3y-11)
Factor 15y^2-49y-22

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