SOLUTION: When x^4 +kx^3 +1 is ÷ by x-1 the remainder is 2. Find K. Can you show me the steps for finding K? Thank you!

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Question 1040816: When x^4 +kx^3 +1 is ÷ by x-1 the remainder is 2. Find K.
Can you show me the steps for finding K? Thank you!

Answer by jim_thompson5910(35256)   (Show Source): You can put this solution on YOUR website!
Using the remainder theorem, the idea is that plugging in x = 1 will lead to a result of 2. We need to find the value of k that makes this happen.


Replace every x with 1


Replace f(1) with 2. Since we want the remainder to be 2.

Let's solve for k







So the final answer is

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