Respuesta :

Given

[tex]\begin{gathered} \text{Volume =-5x}^5-1 \\ \text{height = 5x+5} \end{gathered}[/tex]

The formula for the volume of a rectangular prism

[tex]\text{Volume}=\text{base area }\times height[/tex]

Make area subject of the formula

[tex]\begin{gathered} \text{Base area=}\frac{volume}{\text{height}} \\ \\ \text{Base area=}\frac{-5x^5-1}{5x+5} \end{gathered}[/tex]

Using the long division method

The final answer is

[tex]-x^4+x^3-x^2+x-1+\frac{4}{5x+5}[/tex]

Option B

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