## Algebra 1: Common Core (15th Edition)

$x^{4}$ - $x^3$ + $x^2$
Given : ($x^{6}$ - $x^5$ + $x^4$) $\div$ $x^2$ ($x^{6}$ - $x^5$ + $x^4$) $\div$ $x^2$ = $\frac{x^{6}}{x^2} - \frac{x^5}{x^2} + \frac{x^4}{x^2}$ (Use the distributive property.) = $x^{6-2} - x^{5-2} + x^{4-2}$ (Use the second law of indices with the same base: $a^m \div a^n = a^{m-n}$) = $x^{4}$ - $x^3$ + $x^2$