Answer :

Given:

[tex]x^2-10x-24[/tex]

To factorize:

It can be written as,

[tex]\begin{gathered} x^2-10x-24=x^2-12x+2x-24 \\ =x(x-12)+2(x-12) \\ =(x-12)(x+2) \end{gathered}[/tex]

Therefore, the factorized form is,

[tex](x-12)(x+2)[/tex]

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