Factor 7r^2+33r-10

7r2+33r-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=7⋅-10=-70 and whose sum is b=33.

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Factor 33 out of 33r.

7r2+33(r)-10

Rewrite 33 as -2 plus 35

7r2+(-2+35)r-10

Apply the distributive property.

7r2-2r+35r-10

Factor out the greatest common factor from each group.

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Group the first two terms and the last two terms.

(7r2-2r)+35r-10

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

r(7r-2)+5(7r-2)

Factor the polynomial by factoring out the greatest common factor, 7r-2.

(7r-2)(r+5)

Factor 7r^2+33r-10

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