Factor 6z^2+z-12

Math
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
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)
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

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