Factor 4z^2+11z-3

Math
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
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)
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

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