Question

Divide. Show your work.

(x^6-x^5+x^4)/x^2

Answer 1

`\bf ~~~~~~~~~~~~\textit{negative exponents} \\\\ a^(-n) \implies \cfrac{1}{a^n} \qquad \qquad \cfrac{1}{a^n}\implies a^(-n) \qquad \qquad a^n\implies \cfrac{1}{a^(-n)} \\\\ -------------------------------\\\\ \cfrac{x^6-x^5+x^4}{x^2}\implies \stackrel{\textit{distributing the denominator}}{\cfrac{x^6}{x^2}-\cfrac{x^5}{x^2}+\cfrac{x^4}{x^2}} \\\\\\ x^6x^(-2)-x^5x^(-2)+x^4x^(-2)\implies x^(6-2)-x^(5-2)+x^(4-2)\implies x^4-x^3+x^2`