Factor 20y^2-33y+10

Math
20y2-33y+10
For a polynomial of the form ax2+bx+c, rewrite the middle term as a sum of two terms whose product is a⋅c=20⋅10=200 and whose sum is b=-33.
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Factor -33 out of -33y.
20y2-33(y)+10
Rewrite -33 as -8 plus -25
20y2+(-8-25)y+10
Apply the distributive property.
20y2-8y-25y+10
20y2-8y-25y+10
Factor out the greatest common factor from each group.
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Group the first two terms and the last two terms.
(20y2-8y)-25y+10
Factor out the greatest common factor (GCF) from each group.
4y(5y-2)-5(5y-2)
4y(5y-2)-5(5y-2)
Factor the polynomial by factoring out the greatest common factor, 5y-2.
(5y-2)(4y-5)
Factor 20y^2-33y+10

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