60y2-10y-120

Factor 10 out of 60y2.

10(6y2)-10y-120

Factor 10 out of -10y.

10(6y2)+10(-y)-120

Factor 10 out of -120.

10(6y2)+10(-y)+10(-12)

Factor 10 out of 10(6y2)+10(-y).

10(6y2-y)+10(-12)

Factor 10 out of 10(6y2-y)+10(-12).

10(6y2-y-12)

10(6y2-y-12)

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=6⋅-12=-72 and whose sum is b=-1.

Factor -1 out of -y.

10(6y2-(y)-12)

Rewrite -1 as 8 plus -9

10(6y2+(8-9)y-12)

Apply the distributive property.

10(6y2+8y-9y-12)

10(6y2+8y-9y-12)

Factor out the greatest common factor from each group.

Group the first two terms and the last two terms.

10((6y2+8y)-9y-12)

Factor out the greatest common factor (GCF) from each group.

10(2y(3y+4)-3(3y+4))

10(2y(3y+4)-3(3y+4))

Factor the polynomial by factoring out the greatest common factor, 3y+4.

10((3y+4)(2y-3))

10((3y+4)(2y-3))

Remove unnecessary parentheses.

10(3y+4)(2y-3)

10(3y+4)(2y-3)

Factor 60y^2-10y-120