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) (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
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