Factor 6z^2-17z+7

Math
6z2-17z+7
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⋅7=42 and whose sum is b=-17.
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Factor -17 out of -17z.
6z2-17(z)+7
Rewrite -17 as -3 plus -14
6z2+(-3-14)z+7
Apply the distributive property.
6z2-3z-14z+7
6z2-3z-14z+7
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)-14z+7
Factor out the greatest common factor (GCF) from each group.
3z(2z-1)-7(2z-1)
3z(2z-1)-7(2z-1)
Factor the polynomial by factoring out the greatest common factor, 2z-1.
(2z-1)(3z-7)
Factor 6z^2-17z+7

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