Step-by-step explanation:
For the equation [tex]x^{2} - x - 6[/tex], factoring gives us the following:
[tex](x - 3)(x + 2)[/tex]
For the equation [tex]x^{2} - 5x + 6[/tex], factoring gives us the following:
[tex](x - 3)(x - 2)[/tex]
From this, we see that the common factor is [tex](x - 3)[/tex]