SOLUTION: if x-2 is a factor of x³-kx²+kx+2, where k is a constant, what is the value of k?

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Question 1043467: if x-2 is a factor of x³-kx²+kx+2, where k is a constant, what is the value of k?
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
if x-2 is a factor of x³-kx²+kx+2, where k is a constant,
what is the value of k?
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Using synthetic division::
2)....1....-k....k............2
......1...-k+2..k-2k+4....|2+ 2k -4k+8
Solve::
-2k + 10 = 0
k = 5
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Cheers,
Stan H.
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