1 / 4

# Advanced Algebra II Notes 7.7 Higher-Degree Polynomials - PowerPoint PPT Presentation

Advanced Algebra II Notes 7.7 Higher-Degree Polynomials. Example 1: A box is cut from a square of cardboard which is 30 inches by 30 inches. What height will maximize the volume of the box? a) Write an equation for the volume of the box. Remember that the volume of a prism is: V = lwh

I am the owner, or an agent authorized to act on behalf of the owner, of the copyrighted work described.
Download Presentation

## PowerPoint Slideshow about ' Advanced Algebra II Notes 7.7 Higher-Degree Polynomials' - robert-ellis

An Image/Link below is provided (as is) to download presentation

Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author.While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server.

- - - - - - - - - - - - - - - - - - - - - - - - - - E N D - - - - - - - - - - - - - - - - - - - - - - - - - -
Presentation Transcript

Example 1:

A box is cut from a square of cardboard which is 30 inches by 30 inches. What height will maximize the volume of the box?

a) Write an equation for the volume of the box. Remember that the volume of a prism is:

V = lwh

b) Graph the function and determine the height which maximizes the volume.

c) Find the local maximum and local minimum. Why are they LOCAL max and min and not absolute max and min?

d) What is the end behavior of the polynomial? How could we predict this before graphing it?

Find a polynomial function whose graph has x-intercepts 3, 5, -4, and a y-intercept 180. Describe the features of its graph.

Example 3:

Write a polynomial function with real coefficients and zeros: 2, -5, and 3 + 4i.

page 408:

1 – 7, 8a, 11