Question

Divide and check.48x^8 - 24x^5 + 72x / 8x

Answer 1

First, we find the greatest common factor of the numerator. Remember that the greatest common factor should be able to divide each term

`\begin{gathered} (48x^8)/(8x)=6x^7 \\ (24x^5)/(8x)=3x^4 \\ (72x)/(8x)=9 \end{gathered}`

Given that 8x can divide all terms, we can say that it's the greatest common factor, now we factor it out.

`(8x(6x^7-3x^4+9))/(8x)`

Then, we simplify 8x to get the final expression

`6x^7-3x^4+9`