Factor 6z^2+z-12 - Math App

6z2+z-12

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.

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Multiply by 1.

6z2+1z-12

Rewrite 1 as -8 plus 9

6z2+(-8+9)z-12

Apply the distributive property.

6z2-8z+9z-12

Factor out the greatest common factor from each group.

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Group the first two terms and the last two terms.

(6z2-8z)+9z-12

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

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

Factor the polynomial by factoring out the greatest common factor, 3z-4.

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

Factor 6z^2+z-12