The volume of a rectangular prism is 2 x cubed plus 9 x squared minus 8 x minus 36 with height x plus 2 Using synthetic division, what is the area of the base?

The base area equals the prism’s volume divided by its height, so divide 2x³ + 9x² − 8x − 36 by x + 2. Synthetic division uses −2 and gives quotient 2x² + 5x − 18 with remainder 0. Therefore, the area of the base is 2x² + 5x − 18, choice D.

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