Factor 6z^2-19z-77

Math
6z2-19z-77
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⋅-77=-462 and whose sum is b=-19.
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Factor -19 out of -19z.
6z2-19(z)-77
Rewrite -19 as 14 plus -33
6z2+(14-33)z-77
Apply the distributive property.
6z2+14z-33z-77
6z2+14z-33z-77
Factor out the greatest common factor from each group.
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Group the first two terms and the last two terms.
(6z2+14z)-33z-77
Factor out the greatest common factor (GCF) from each group.
2z(3z+7)-11(3z+7)
2z(3z+7)-11(3z+7)
Factor the polynomial by factoring out the greatest common factor, 3z+7.
(3z+7)(2z-11)
Factor 6z^2-19z-77

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