Factor 6k^2-5k-4

Math
6k2-5k-4
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⋅-4=-24 and whose sum is b=-5.
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Factor -5 out of -5k.
6k2-5(k)-4
Rewrite -5 as 3 plus -8
6k2+(3-8)k-4
Apply the distributive property.
6k2+3k-8k-4
6k2+3k-8k-4
Factor out the greatest common factor from each group.
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Group the first two terms and the last two terms.
(6k2+3k)-8k-4
Factor out the greatest common factor (GCF) from each group.
3k(2k+1)-4(2k+1)
3k(2k+1)-4(2k+1)
Factor the polynomial by factoring out the greatest common factor, 2k+1.
(2k+1)(3k-4)
Factor 6k^2-5k-4

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