If x - 2 is a factor of x
![{x}^{2} - 2kx + 8 \: then \: k = {x}^{2} - 2kx + 8 \: then \: k =](https://tex.z-dn.net/?f=+%7Bx%7D%5E%7B2%7D++-+2kx+%2B+8++%5C%3A+then++%5C%3A+k+%3D+)
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Answer:
x-2=0
x=2
Put x=2
2²-2k×2+8
4-4k+8=0
12-4k=0
-4k=-12
k=-12/-4
k=3
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