Long Division With Polynomials

[Roger Rabbit]

Hi, I'm having trouble with this question. I am not allowed to divide using synthetic division - it has to be long division.


The question is:

[(Y^4)-2xy³ + 2x²y² - 2x³y + (x^4)] ÷ [y² + x²]


I got this far -

                 y²
             ______________________
y² + x² | (y^4) - 2xy³ + 2x²y² - 2x³y + (x^4)
            - (y^4) +x²y²
              ¯¯¯¯¯¯¯¯¯¯¯

I can't get any further, any help please?

 

[Loren]

y²
______________________
y² + x² | (y^4) - 2xy³ + 2x²y² - 2x³y + (x^4)
- (y^4) +x²y² <<<Line these terms up under like terms. 0xy[sup:3u23k0h6]3[/sup:3u23k0h6] under -2xy[sup:3u23k0h6]3[/sup:3u23k0h6] and x[sup:3u23k0h6]2[/sup:3u23k0h6]y[sup:3u23k0h6]2[/sup:3u23k0h6] under
¯¯¯¯¯¯¯¯¯¯¯ 2x[sup:3u23k0h6]2[/sup:3u23k0h6]y[sup:3u23k0h6]2[/sup:3u23k0h6].

P.S. How did you get the y[sup:3u23k0h6]2[/sup:3u23k0h6] to be in line with the problem?

 

[Roger Rabbit]

Copy and paste this:   .



Ok well I get -2xy^3 under 0xy^3 and 2 under x^2y^2

No idea what to do now.

 

[Loren]

Subtract.