What is the quotient and remainder when x^4 +1 is divided by x^2 +1?
(If anyone isnt used to my terminoligy - ^ = to the power of)
2006-10-30 07:13:03 · 5 answers · asked by Anonymous in Science & Mathematics ➔ Mathematics
Thanks! Thats what i got :-)
2006-10-30 07:24:23 · update #1
Provided my division is correct I got a quotient of x^2-1 and a remainder of 2.
Hope this helps. :)
2006-10-30 07:20:20 · answer #1 · answered by SmileyGirl 4 · 1⤊ 0⤋
you're right smiley
x^2-1 with remainder 2
=(x+1)(x-1) with remainder 2
2006-10-30 07:25:21 · answer #2 · answered by Anonymous · 0⤊ 0⤋
well i got x^2 remainder positive one. hopefully I'm right.
2006-10-30 07:24:23 · answer #3 · answered by adanbyl 2 · 0⤊ 0⤋
x^2-1
x^2+1\x^4+1
-x^4-x^2
-x^2
x^2+1
-1
so (x^4+1)/(x^2+1)=x^2-1 -1/(x^2+1)
2006-10-30 07:30:14 · answer #4 · answered by yupchagee 7 · 0⤊ 0⤋
.................................... 1x^2 + 0x - 1
............ ______________________
x^2 + 1 | x^4 + 0x^3 + 0x^2 + 0x + 1
...............x^4 + 0x^3 + 1x^2
..................................- 1x^2 + 0x + 1
..................................- 1x^2 + 0x - 1
.................................................................. 2
Therefore x^4 + 1 = (x^2 +1)(x^2 - 1) + 2
2006-10-30 07:23:40 · answer #5 · answered by Leah H 2 · 1⤊ 0⤋