SOLUTION: given f(x)=(x^3-4x^2+kx-2k)/ (x-5) find the value of k so that the remainder = 0

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Question 39186: given f(x)=(x^3-4x^2+kx-2k)/ (x-5) find the value of k so that the remainder = 0
Answer by fractalier(6550) About Me  (Show Source):
You can put this solution on YOUR website!
This is probably done easiest by synthetic division...I do not know if you know of that, but here is how it goes
5____1____-4_____k____-2k
___________5_____5_____5k+25
_____1_____1____k+5_____3k+25
It appears that the remainder would be zero if 3k + 25 = 0
or k = -25/3
You could do this one by remainder theorem or by long division also.