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.

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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

answer: bearing in mind that a rectangle has a perimeter of length + length + width + width.

step-by-step explanation:

p = perimeter

l = length

x=width

p = 2l + 2x

p = 2(l+x)     < ==== perimeter of the base of the box.