Question

What is the area of the base in terms of x

Answer 1

Given

`\begin{gathered} \text{Volume =-5x}^5-1 \\ \text{height = 5x+5} \end{gathered}`

The formula for the volume of a rectangular prism

`\text{Volume}=\text{base area }* height`

Make area subject of the formula

`\begin{gathered} \text{Base area=}\frac{volume}{\text{height}} \\ \\ \text{Base area=}(-5x^5-1)/(5x+5) \end{gathered}`

Using the long division method

The final answer is

`-x^4+x^3-x^2+x-1+(4)/(5x+5)`

Option B