The volume of a rectangular prism is given by the expression10x3 + 46x2 – 21x – 27. The area of the base of the prism is given by the expression 2x2 + 8x – 9. Which of the following expressions represents the height of the prism? (V = Bh)

Use V = Bh, so the height is the volume divided by the base area. Factoring the volume gives (2x² + 8x − 9)(5x − 3), which matches the given base area times 5x − 3. Therefore, the height is 5x − 3. None of the listed choices has that expression, so the choices appear to contain an error.

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