Factor 15y^3-40y^2-175y

Math
15y3-40y2-175y
Factor 5y out of 15y3-40y2-175y.
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Factor 5y out of 15y3.
5y(3y2)-40y2-175y
Factor 5y out of -40y2.
5y(3y2)+5y(-8y)-175y
Factor 5y out of -175y.
5y(3y2)+5y(-8y)+5y(-35)
Factor 5y out of 5y(3y2)+5y(-8y).
5y(3y2-8y)+5y(-35)
Factor 5y out of 5y(3y2-8y)+5y(-35).
5y(3y2-8y-35)
5y(3y2-8y-35)
Factor.
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Factor by grouping.
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For a polynomial of the form ax2+bx+c, rewrite the middle term as a sum of two terms whose product is a⋅c=3⋅-35=-105 and whose sum is b=-8.
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Factor -8 out of -8y.
5y(3y2-8(y)-35)
Rewrite -8 as 7 plus -15
5y(3y2+(7-15)y-35)
Apply the distributive property.
5y(3y2+7y-15y-35)
5y(3y2+7y-15y-35)
Factor out the greatest common factor from each group.
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Group the first two terms and the last two terms.
5y((3y2+7y)-15y-35)
Factor out the greatest common factor (GCF) from each group.
5y(y(3y+7)-5(3y+7))
5y(y(3y+7)-5(3y+7))
Factor the polynomial by factoring out the greatest common factor, 3y+7.
5y((3y+7)(y-5))
5y((3y+7)(y-5))
Remove unnecessary parentheses.
5y(3y+7)(y-5)
5y(3y+7)(y-5)
Factor 15y^3-40y^2-175y

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