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Question

If x=123 is a zero of a polynomial 2kx27x+k, find k.

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Solution

x=123 is zero of polynomial 2kx27x+k
2k(123)2(723)+k=0
2k12723+k=0k6723+k=0
k(1+16)=723k(76)=723
k=623=3
k=3.
Hence, the answer is 3.

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