Factor 8z^2-10z+3

Math
8z2-10z+3
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⋅3=24 and whose sum is b=-10.
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Factor -10 out of -10z.
8z2-10(z)+3
Rewrite -10 as -4 plus -6
8z2+(-4-6)z+3
Apply the distributive property.
8z2-4z-6z+3
8z2-4z-6z+3
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)-6z+3
Factor out the greatest common factor (GCF) from each group.
4z(2z-1)-3(2z-1)
4z(2z-1)-3(2z-1)
Factor the polynomial by factoring out the greatest common factor, 2z-1.
(2z-1)(4z-3)
Factor 8z^2-10z+3

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