SOLUTION: The volume, in cubic centimeters, of a rectangular box can be modeled by the polynomial expression 2x^3+17x^2+38x+15. Determine possible dimension of the box if the height, in cent

Question 1094491: The volume, in cubic centimeters, of a rectangular box can be modeled by the polynomial expression 2x^3+17x^2+38x+15. Determine possible dimension of the box if the height, in centimeters, is given by x+5.
This is Grade 12 Polynomial Equations and Inequalities!
Answer by Alan3354(69443) (Show Source): You can put this solution on YOUR website!
The volume, in cubic centimeters, of a rectangular box can be modeled by the polynomial expression 2x^3+17x^2+38x+15. Determine possible dimension of the box if the height, in centimeters, is given by x+5.
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Divide the volume by x+5.
--> 2x^2 + 7x + 3
There are an infinite number of possibilities.
If the problem stated "find integer dimensions" it would make sense.
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eg, the box can be (x+5) by:
pi*(2x^2 + 7x + 3)/pi
Or
3*4*(2x^2 + 7x + 3)/12
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