Question 70437
Divide:
x^4 + x^2 -80
-------------
    x + 3

I have some very crazy answers in this one:

a) x^3 - 3x^2 - 10x + 30 + -10/x+3

b) x^3 - 3x^2 + 10x + 30 + 10/x+3

c) x^3 - 3x^2 + 10x - 30 + 10/x+3

d) x^3 - 3x^2 - 10x - 30 + -10/x+3

The answer is, "c".  Normally, I try to show you step by step how to get there, but I haven't found a way to show long division in this format.
I'll do what I can:
: x^3-3x^2+10x-30
:______________________
x+3|x^4+0x^3++0x+x^2-80
--|-(x^4+3x^3)
---__________
---------|-3x^3+x^2
---------|-(-3x^3-9x^2)
---------______________
-----------------|10x^2+0x
----------------|-(10x^2+30x)
----------------_____________
------------------------|-30x-80
------------------------|-(-30x-90)
-------------------------__________
--------------------------------| 10
We write the remainder over the divisor and add it to the quotient to get:
{{{highlight(x^3-3x^2+10x-30+10/(x+3))}}}
Happy Calculating!!!