Factor 3z^2-10z-8

Math
3z2-10z-8
For a polynomial of the form ax2+bx+c, rewrite the middle term as a sum of two terms whose product is a⋅c=3⋅-8=-24 and whose sum is b=-10.
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Factor -10 out of -10z.
3z2-10(z)-8
Rewrite -10 as 2 plus -12
3z2+(2-12)z-8
Apply the distributive property.
3z2+2z-12z-8
3z2+2z-12z-8
Factor out the greatest common factor from each group.
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Group the first two terms and the last two terms.
(3z2+2z)-12z-8
Factor out the greatest common factor (GCF) from each group.
z(3z+2)-4(3z+2)
z(3z+2)-4(3z+2)
Factor the polynomial by factoring out the greatest common factor, 3z+2.
(3z+2)(z-4)
Factor 3z^2-10z-8

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