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)

Since V = Bh, the height is the volume divided by the base area. Multiplying the base area by 5x + 3 gives (2x² + 8x − 9)(5x + 3) = 10x³ + 46x² − 21x − 27, so the height is 5x + 3, choice C.

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