Respuesta :

We will have the following:

[tex]\begin{gathered} \frac{x^2-kx+24}{x-12}=x-2\Rightarrow x^2-kx+24=(x-2)(x-12) \\ \\ \Rightarrow x^2-kx+24=x^2-12x-2x+24 \\ \\ \Rightarrow x^2-kx+24=x^2-14x+24 \\ \\ \Rightarrow-kx=-14x\Rightarrow k=14 \end{gathered}[/tex]

So, the value of k will be 14.

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