Consider the following division of polynomials.

(x^4+x^3+7x^2-6x+8)/(x^2+2x+8)

A) Use long division to determine the quotient of the polynomials. Show all of your work for full credit.
B) Use mathematical methods to prove your answer. Show all of your work for full credit.

Question

Consider the following division of polynomials.

(x^4+x^3+7x^2-6x+8)/(x^2+2x+8)

A) Use long division to determine the quotient of the polynomials. Show all of your work for full credit.
B) Use mathematical methods to prove your answer. Show all of your work for full credit.

sam1234 · Answer

Hi. Can you help me with algebra?

jhonyy9 · Answer

x^4 +x^3 +7x^2 -8x +8 / x^2 +2x +8 = x^2 -x +1
x^4 +2x^3 +8x^2
-----------------
  0    -x^3 -x^2 -8x
       -x^3 -2x^2 -8x
      -----------------
          0     x^2    0  +8
                 x^2 +2x +8
               -------------
                  0    -2x    0 

hope helped