SOLUTION: The volume of a rectangular box is (2x³ + 7x² + 10x + 8) and its height is x+2. What is the area of its base?

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Question 1187694: The volume of a rectangular box is (2x³ + 7x² + 10x + 8) and its height is x+2. What is the area of its base?
Answer by Theo(13342) About Me  (Show Source):
You can put this solution on YOUR website!
the volume is equal to 2x^3 + 7x^2 + 10x + 8
the height is x + 2.

since volume is equal to area of base * the height, you need to divide the volume by the height to get the area of the base.

2x^3 + 7x^2 + 10x + 8 divided by x+2 is equal to 2x^2 + 3x + 4.

that's the area of the base.

you can do long division or you can do synthetic division to get the area of the base.

here's a reference for both.

https://www.purplemath.com/modules/polydiv2.htm

https://www.purplemath.com/modules/synthdiv.htm