Find the quotient and remainder if f(x) is divided by p(x).
$$f(x)=2x^4-x^3-3x^2+7x-12$$; $$p(x)=x^2-3$$

Question

Find the quotient and remainder if f(x) is divided by p(x).
$$f(x)=2x^4-x^3-3x^2+7x-12$$; $$p(x)=x^2-3$$

anonymous · Answer

Do I complete the polynomial p(x) to x^2+0x-3?

callisto · Answer

2x^2 - x +3
            ------------------------
x^2 -3 ) 2x^4 - x^3   - 3x^2 + 7x -12
              2x^4             - 6x^2
              ------------------------
                       -x^3   + 3x^2 + 7x
                       -x^3                 + 3x
                       ----------------------
                                      3x^2 + 4x  -12
                                      3x^2            -9
                                      --------------
                                                   4x - 3

callisto · Answer

You should be able to find the quotient and remainder now :)

anonymous · Answer

what did you do?

callisto · Answer

Long division...

anonymous · Answer

I don't see it... I can't understand how you set it up

callisto · Answer

----
p(x)  ) f(x)

anonymous · Answer

I'm sorry but I don't understand that... I don't know if it's easier but you can just tell me if p(x) has to be x^2+0x-3 to be divided by the polynomial.

callisto · Answer

you may say so.

anonymous · Answer

Okay, I don't know if it's this computer or what but Thank you so much!!!

callisto · Answer

Welcome!

anonymous · Answer

Haha, I can see it now... I knew it was something wrong with the computer I was on!! I understand what you did now :). I got the same thing.