Question

Use algebraic techniques to rewrite g(x)= (-7x^4+6x^8)/(x^3)

Answer 1

To solve this problem you must apply the proccedure shown below:

1. You have the following function given in the problem above: $g(x)= \frac{(-7x^4+6x^8)}{x^3}$

2. You can factor out the common term $x^{3}$ and simplify the function by using the properties of exponents, as following:

$g(x)= \frac{x^{3} (-7x+6x^5)}{x^3} \\ g(x)=-7x+6x^{5}$

Therefore, the answer is: $g(x)=-7x+6x^{5}$