First, we find the greatest common factor of the numerator. Remember that the greatest common factor should be able to divide each term
[tex]\begin{gathered} \frac{48x^8}{8x}=6x^7 \\ \frac{24x^5}{8x}=3x^4 \\ \frac{72x}{8x}=9 \end{gathered}[/tex]Given that 8x can divide all terms, we can say that it's the greatest common factor, now we factor it out.
[tex]\frac{8x(6x^7-3x^4+9)}{8x}[/tex]Then, we simplify 8x to get the final expression
[tex]6x^7-3x^4+9[/tex]
