Applications
| Site: | Clare-Gladwin RESD |
| Course: | Michigan Algebra II KHauck |
| Book: | Applications |
| Printed by: | Guest user |
| Date: | Friday, November 22, 2024, 8:47 PM |
Description
Applications
Applications
There are many applications of polynomials. One of the most important is volume of a rectangular prism. Recall that the formula to determine volume of a rectangular prism is: V = lwh, where l = length, w = width and h = height.
Example Find the function that models the volume of a rectangular cereal box with length (15 - x), width (12 - x) and height (x). Determine the maximum volume of the prism.
Step 1. Use substitution to write a function in factored form.
Step 2. To determine maximum volume, find the local maxima of the graph.
Step 3. Determine the maximum volume for the box.
Since the local maxima is contained within the domain of this function: 
the maximum volume will be 354.47 cubic units.
Video Lesson
To learn more about applications of polynomials select the following link:Hemoglobin Problem
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Sales of Gym Shoes Problem
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Answer Key
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Sources
 Sources used in this book:
Embracing Mathematics, Assessment & Technology in High Schools; a Michigan Mathematics & Science Partnership Grant Project
Holt, Rinehart & Winston, "Polynomial Functions." http://my.hrw.com/math06_07/nsmedia/homework_help/alg2/alg2_ch06_05_homeworkhelp.html (accessed 810/2010).