• anonymous
The volume of a rectangular prism is represented by the function x3 + 9x2 + 6x – 16. The length of the box is x + 2 while the height is x + 8. Find the expression representing the width of the box.
  • Stacey Warren - Expert
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  • schrodinger
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  • anonymous
Volume = length x width x height If you have a known volume, length, and height; then you would solve for width. So... Width = V / (LH) \[w=(x^3+9x^2+6x-16)/[(x+2)(x+8)]=(x^3+9x^2+6x-16)/(x^2+10x+6)\] I use long division (I can't show that on here, so I'll leave that to you). The width should be x - 1. You can check by multiplying LWH to see if you get V.

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