Factor 6y^2+11y-35

6y2+11y-35

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⋅-35=-210 and whose sum is b=11.

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Factor 11 out of 11y.

6y2+11(y)-35

Rewrite 11 as -10 plus 21

6y2+(-10+21)y-35

Apply the distributive property.

6y2-10y+21y-35

Factor out the greatest common factor from each group.

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Group the first two terms and the last two terms.

(6y2-10y)+21y-35

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

2y(3y-5)+7(3y-5)

Factor the polynomial by factoring out the greatest common factor, 3y-5.

(3y-5)(2y+7)

Factor 6y^2+11y-35