Factor 6z^2+5z-1

Math
6z2+5z-1
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⋅-1=-6 and whose sum is b=5.
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Factor 5 out of 5z.
6z2+5(z)-1
Rewrite 5 as -1 plus 6
6z2+(-1+6)z-1
Apply the distributive property.
6z2-1z+6z-1
6z2-1z+6z-1
Factor out the greatest common factor from each group.
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Group the first two terms and the last two terms.
(6z2-1z)+6z-1
Factor out the greatest common factor (GCF) from each group.
z(6z-1)+1(6z-1)
z(6z-1)+1(6z-1)
Factor the polynomial by factoring out the greatest common factor, 6z-1.
(6z-1)(z+1)
Factor 6z^2+5z-1

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