[tex]x^2-2x-24[/tex]
To factor this expression we have to find the following
[tex](x+A)(x+B)[/tex]
Where
[tex]\begin{gathered} A\cdot B=-24\to(1) \\ A+B=-2\to(2) \end{gathered}[/tex]
we solve (1) and (2) to find our values of the factorization
[tex]\begin{gathered} A=4 \\ B=-6 \\ A\cdot B=-24=4\cdot(-6) \\ A+B=-2=4-6 \\ \end{gathered}[/tex]
So the factor of the expresion is
[tex]x^2-2x-24=(x+4)(x-6)[/tex]
