Factor 9z^2-3z-2

Math
9z2-3z-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=9⋅-2=-18 and whose sum is b=-3.
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Factor -3 out of -3z.
9z2-3(z)-2
Rewrite -3 as 3 plus -6
9z2+(3-6)z-2
Apply the distributive property.
9z2+3z-6z-2
9z2+3z-6z-2
Factor out the greatest common factor from each group.
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Group the first two terms and the last two terms.
(9z2+3z)-6z-2
Factor out the greatest common factor (GCF) from each group.
3z(3z+1)-2(3z+1)
3z(3z+1)-2(3z+1)
Factor the polynomial by factoring out the greatest common factor, 3z+1.
(3z+1)(3z-2)
Factor 9z^2-3z-2

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