08-28-2013 #1 youngnfree   Join Date: Aug 2013 Posts: 1 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)?
09-02-2013   #2
MAS1

 Points: 8,254, Level: 61
 Activity: 33.3%
Last Achievements

Join Date: Dec 2008
Posts: 249

Quote:
 Originally Posted by youngnfree 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

10-11-2013   #3
Last Achievements

Join Date: May 2013
Posts: 3

Quote:
 Originally Posted by youngnfree For what values of k will the remainder be the same when x^2 + kx + 4 is divided by (x-1) or (x+1)?
Do u still need help with this problem

 Thread Tools Display Modes Linear Mode

 Posting Rules You may not post new threads You may not post replies You may not post attachments You may not edit your posts BB code is On Smilies are On [IMG] code is On HTML code is Off Forum Rules
 Forum Jump User Control Panel Private Messages Subscriptions Who's Online Search Forums Forums Home Welcome     XP Math News     Off-Topic Discussion Mathematics     XP Math Games Worksheets     Homework Help     Problems Library     Math Challenges

All times are GMT -4. The time now is 09:32 PM.

 Contact Us - XP Math - Forums - Archive - Privacy Statement - Top