Factor 8z^2-18z+7

Math
8z2-18z+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=8⋅7=56 and whose sum is b=-18.
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Factor -18 out of -18z.
8z2-18(z)+7
Rewrite -18 as -4 plus -14
8z2+(-4-14)z+7
Apply the distributive property.
8z2-4z-14z+7
8z2-4z-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.
(8z2-4z)-14z+7
Factor out the greatest common factor (GCF) from each group.
4z(2z-1)-7(2z-1)
4z(2z-1)-7(2z-1)
Factor the polynomial by factoring out the greatest common factor, 2z-1.
(2z-1)(4z-7)
Factor 8z^2-18z+7

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