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Old 08-28-2013   #1
youngnfree
 
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Post Please help me with this problem.

For what values of k will the remainder be the same when x^2 + kx + 4 is divided by (x-1) or (x+1)?
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Old 09-02-2013   #2
MAS1

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Originally Posted by youngnfree View Post
For what values of k will the remainder be the same when x^2 + kx + 4 is divided by (x-1) or (x+1)?
Dividing x^2 + kx + 4 by x - 1 gives a remainder of 4 + k + 1.

Dividing x^2 + kx + 4 by x + 1 gives a remainder of 4 - k + 1.

Setting the two remainders equal to each other gives:
4 + k + 1 = 4 - k + 1
5 + k = 5 - k
k = -k
2k = 0
k = 0

If you plug k = 0 into the dividend you get x^2 + 4.
Dividing that by either x - 1 or x + 1 gives a remainder of 5.

Last edited by MAS1; 09-03-2013 at 12:51 PM.. Reason: correcting typos
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Old 10-11-2013   #3
bradley10844
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Originally Posted by youngnfree View Post
For what values of k will the remainder be the same when x^2 + kx + 4 is divided by (x-1) or (x+1)?
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