Factor 6k^2-5k-4 - Math App

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

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)

Factor the polynomial by factoring out the greatest common factor, 2k+1.

(2k+1)(3k-4)

Factor 6k^2-5k-4