Given p(x) = x^4 – 13x^2 – 25x – 12.

A) Use long division to determine the remainder when p(x) is divided by (x^2 – 4)? Show all of your work for full credit.

B) Use mathematical methods to prove that your quotient and remainder are correct. Show all of your work for full credit.

Question

Given p(x) = x^4 – 13x^2 – 25x – 12.

A)	Use long division to determine the remainder when p(x) is divided by (x^2 – 4)? Show all of your work for full credit.

B)	Use mathematical methods to prove that your quotient and remainder are correct. Show all of your work for full credit.

jhonyy9 · Answer

x^4 -13x^2 -25x -12 / x^2 -4 = x^2 -9
x^4 -4x^2
-----------
 0   -9x^2 -25x
      -9x^2 +36
    ------------
         0    -25x -48
              

hope helped