SOLUTION: For what values of k will the remainder be the same when x^2 +kx +4 is divided by x1 or x+1? thank you.

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Question 1011819: For what values of k will the remainder be the same when x^2 +kx +4 is divided by x1 or x+1? thank you.
Found 2 solutions by Fombitz, stanbon:
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
Please correct the first factor "x1" and repost.

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
For what values of k will the remainder be the same when x^2 +kx +4 is divided by x1 or x+1? thank you.
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Dividing by "x"::
Quotient:: x+k
Remainder:: 4/x
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Dividing by x+1::
Quotient:: x+k-1
Remainder:: (-k+5)/(x+1)
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Equation:
4/x = (-k+5)/(x+1)
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4x + 4 = -kx + 5x
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kx - x = -4
kx = x-4
k = 1-(4/x)
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Cheers,
Stan H.
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