Factor 6z^2+z-2 - Math App

6z2+z-2

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⋅-2=-12 and whose sum is b=1.

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Multiply by 1.

6z2+1z-2

Rewrite 1 as -3 plus 4

6z2+(-3+4)z-2

Apply the distributive property.

6z2-3z+4z-2

Factor out the greatest common factor from each group.

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Group the first two terms and the last two terms.

(6z2-3z)+4z-2

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

3z(2z-1)+2(2z-1)

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

(2z-1)(3z+2)

Factor 6z^2+z-2