aalyahn aalyahn

29-09-2018
Mathematics

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for what values of k will x-4 be a factor of x^2+kx-52?

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konrad509 konrad509

29-09-2018

If [tex]x-4[/tex] is a factor of [tex]x^2+kx-52[/tex], then 4 is a root of [tex]x^2+kx-52[/tex].

So

[tex]4^2+k\cdot4-52=0\\\\16+4k-52=0\\\\4k=36\\\\k=9[/tex]

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