Factor 6z^2+5z-1 - Math App

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

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)

Factor the polynomial by factoring out the greatest common factor, 6z-1.

(6z-1)(z+1)

Factor 6z^2+5z-1