Factor 10y^2+3y-4

10y2+3y-4

For a polynomial of the form ax2+bx+c, rewrite the middle term as a sum of two terms whose product is a⋅c=10⋅-4=-40 and whose sum is b=3.

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Factor 3 out of 3y.

10y2+3(y)-4

Rewrite 3 as -5 plus 8

10y2+(-5+8)y-4

Apply the distributive property.

10y2-5y+8y-4

Factor out the greatest common factor from each group.

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Group the first two terms and the last two terms.

(10y2-5y)+8y-4

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

5y(2y-1)+4(2y-1)

Factor the polynomial by factoring out the greatest common factor, 2y-1.

(2y-1)(5y+4)

Factor 10y^2+3y-4