if 2 is a zero of the polynomial p(x) =x^3-2kx^2+kx-1, find the value of k.
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Let p(x) = x³-2kx²+kx-1
Since 2 is a zero of p(x),
p(2) = 0
p(2) = 2³ - 2k*2² +2k - 1 = 0
8-8k+2k-1 = 0
7 = 6k
k = 7/6
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