Factor 4z^2+11z-3

4z2+11z-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=4⋅-3=-12 and whose sum is b=11.

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Factor 11 out of 11z.

4z2+11(z)-3

Rewrite 11 as -1 plus 12

4z2+(-1+12)z-3

Apply the distributive property.

4z2-1z+12z-3

Factor out the greatest common factor from each group.

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Group the first two terms and the last two terms.

(4z2-1z)+12z-3

Factor out the greatest common factor (GCF) from each group.

z(4z-1)+3(4z-1)

Factor the polynomial by factoring out the greatest common factor, 4z-1.

(4z-1)(z+3)

Factor 4z^2+11z-3