# Factor 2y^3+7y^2+6y 2y3+7y2+6y
Factor y out of 2y3+7y2+6y.
Factor y out of 2y3.
y(2y2)+7y2+6y
Factor y out of 7y2.
y(2y2)+y(7y)+6y
Factor y out of 6y.
y(2y2)+y(7y)+y⋅6
Factor y out of y(2y2)+y(7y).
y(2y2+7y)+y⋅6
Factor y out of y(2y2+7y)+y⋅6.
y(2y2+7y+6)
y(2y2+7y+6)
Factor.
Factor by grouping.
For a polynomial of the form ax2+bx+c, rewrite the middle term as a sum of two terms whose product is a⋅c=2⋅6=12 and whose sum is b=7.
Factor 7 out of 7y.
y(2y2+7(y)+6)
Rewrite 7 as 3 plus 4
y(2y2+(3+4)y+6)
Apply the distributive property.
y(2y2+3y+4y+6)
y(2y2+3y+4y+6)
Factor out the greatest common factor from each group.
Group the first two terms and the last two terms.
y((2y2+3y)+4y+6)
Factor out the greatest common factor (GCF) from each group.
y(y(2y+3)+2(2y+3))
y(y(2y+3)+2(2y+3))
Factor the polynomial by factoring out the greatest common factor, 2y+3.
y((2y+3)(y+2))
y((2y+3)(y+2))
Remove unnecessary parentheses.
y(2y+3)(y+2)
y(2y+3)(y+2)
Factor 2y^3+7y^2+6y

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