Question

Use long division to answer the following division of polynomials and show your work.

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

Answer 1

x² -x + 1

Explanation:

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

x²+ 2x+8 )) x⁴+ x³+7x² -6x+8= x²-x+1

x⁴+ 2x³+8x²

_________-

-x³ - x² - 6x

-x³ -2x² - 8x

__________-

x² + 2x + 8

x² + 2x + 8

__________-

0