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If x-k is a factor of x3-kx2+2x-8 find the value of k

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Step-by-step explanation:

Since x-k is factor of that polynomial ,

We can say that x = k

next is substitute x into k in the polynomial

k^3 -k•k^2 + 2k - 8 = 0

then simplify

2k - 8 = 0

2k = 8

k= 4

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