Answer:
[tex](x+2)(x+3)[/tex]
Step-by-step explanation:
Use the sum-product pattern
[tex]x^2+5x+6[/tex]
[tex]x^2+3x+2x+6[/tex]
Common factor from the two pairs
[tex]x^2+3x+2x+6[/tex]
[tex]x(x+3)+2(x+3)[/tex]
Rewrite in factored form
[tex]x(x+3)+2(x+3)[/tex]
[tex](x+2)(x+3)[/tex]
