Question

Please help. The problem is: Use long division to divide (x^4-2x^2-1) divided by (X^2-3x-2)

Answer 1

do you remember how to do long division with numbers?

Answer 2

yes

Answer 3

My computer is freezing. I will have to reboot. Be right back

Answer 4

exact same thing then....


x^2 +3x +11
------------------
x^2 -3x -2 | x^4 -2x^2 -1
-x^4 +3x^3 +2x^2
-------------------
+3x^3 +2x^2 -1
-3x^3 +9x^2 +6x
------------------
11x^2 +6x -1
-11x^2 +33x +22
------------------
39x +21
^^^^^^
our remainder

39x +21
x^2 +3x +11 + ----------- if I kept me wits about me :)
x^2 -3x -2

Answer 5

i missed it lol.... easier to keep track of on paper

Answer 6

Indeed; close, but no cigar.

Answer 7

that first (-2x^2 + 2x^2) got out of my sight....

Answer 8

copy paste then edit eh....

Answer 9

exact same thing then....


x^2 +3x +9
------------------
x^2 -3x -2 | x^4 -2x^2 -1
-x^4 +3x^3 +2x^2
-------------------
+3x^3 -1
-3x^3 +9x^2 +6x
------------------
9x^2 +6x -1
-9x^2 +27x +18
------------------
33x +17
^^^^^^
our remainder

33x +17
x^2 +3x +9 + ----------- if I kept me wits about me :)
x^2 -3x -2

Answer 10

I was to busy making sure I flipped my signs to notice it the first time :)

Answer 11

Oh dear. Don't worry, long division is gay, anyway.

Answer 12

I got a notebook full of long square rootings I did years ago...