Factor 4c^2+4c-3

Math
4c2+4c-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=4.
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Factor 4 out of 4c.
4c2+4(c)-3
Rewrite 4 as -2 plus 6
4c2+(-2+6)c-3
Apply the distributive property.
4c2-2c+6c-3
4c2-2c+6c-3
Factor out the greatest common factor from each group.
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Group the first two terms and the last two terms.
(4c2-2c)+6c-3
Factor out the greatest common factor (GCF) from each group.
2c(2c-1)+3(2c-1)
2c(2c-1)+3(2c-1)
Factor the polynomial by factoring out the greatest common factor, 2c-1.
(2c-1)(2c+3)
Factor 4c^2+4c-3

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