SOLUTION: For what value of k is x^3 - 2kx^2 + 3x + k exactly divisible by x-2

SOLUTION: For what value of k is x^3 - 2kx^2 + 3x + k exactly divisible by x-2

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Question 1183611: For what value of k is x^3 - 2kx^2 + 3x + k exactly divisible by x-2
Answer by KMST(5328) (Show Source): You can put this solution on YOUR website!
When you divide that polynomial by the quotient is , another polynomial of degree 2.
In other words for every value of
and so for we have .
So,

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