Factor 21y^2-44y+15

Math
21y2-44y+15
For a polynomial of the form ax2+bx+c, rewrite the middle term as a sum of two terms whose product is a⋅c=21⋅15=315 and whose sum is b=-44.
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Factor -44 out of -44y.
21y2-44(y)+15
Rewrite -44 as -9 plus -35
21y2+(-9-35)y+15
Apply the distributive property.
21y2-9y-35y+15
21y2-9y-35y+15
Factor out the greatest common factor from each group.
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Group the first two terms and the last two terms.
(21y2-9y)-35y+15
Factor out the greatest common factor (GCF) from each group.
3y(7y-3)-5(7y-3)
3y(7y-3)-5(7y-3)
Factor the polynomial by factoring out the greatest common factor, 7y-3.
(7y-3)(3y-5)
Factor 21y^2-44y+15

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