10k2+23k+12

Factor 23 out of 23k.

10k2+23(k)+12

Rewrite 23 as 8 plus 15

10k2+(8+15)k+12

Apply the distributive property.

10k2+8k+15k+12

10k2+8k+15k+12

Group the first two terms and the last two terms.

(10k2+8k)+15k+12

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

2k(5k+4)+3(5k+4)

2k(5k+4)+3(5k+4)

Factor the polynomial by factoring out the greatest common factor, 5k+4.

(5k+4)(2k+3)

Factor 10k^2+23k+12