Ireally need 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.

| | | |  

x^2 | + | 2 x | + | 8 | | | | x^2 | - | x | + | 1

x^4 | + | x^3 | + | 7 x^2 | - | 6 x | + | 8

x^4 | + | 2 x^3 | + | 8 x^2 | | | |  

| | -x^3 | - | x^2 | - | 6 x | |  

| | -x^3 | - | 2 x^2 | - | 8 x | |  

| | | | x^2 | + | 2 x | + | 8

| | | | x^2 | + | 2 x | + | 8

| | | | | | | | 0

a right triangle. and in the future use this desmos.com to you