4×2+12x+5

Factor 12 out of 12x.

4×2+12(x)+5

Rewrite 12 as 2 plus 10

4×2+(2+10)x+5

Apply the distributive property.

4×2+2x+10x+5

4×2+2x+10x+5

Group the first two terms and the last two terms.

(4×2+2x)+10x+5

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

2x(2x+1)+5(2x+1)

2x(2x+1)+5(2x+1)

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

(2x+1)(2x+5)

Factor by Grouping 4x^2+12x+5