Factor 6z^2+z-2

Math
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
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)
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

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