Ch 2'2: Polynomial Functions of Higher Degree

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Ch 2.2 Polynomial Functions of Higher Degree
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Leading Coefficient Test
Describe the behavior of the following functions.
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Zeros of Polynomial Functions

• A function with n degrees has at most n solutions
• with at most n-1 extrema (relative max and min)
• Finding the Zeros/Solutions/X-intercepts
• Factor if possible to find each zero
• Graph if factoring does not work
• TI-83 2nd, Trace, Zero bound it above and
  below the x-axis follow wherever the graph has a
  zero
• TI-89 F5, Zero bound it above and below the
  x-axis follow wherever the graph has a zero

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Option 1 Factor it!
Option 2 Graph it!
Now do that for the middle intercept and right
intercept
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Finding Polynomial with given zeros

• Write the zeros as factors
• Remember, they are opposite what you see!
• Multiply the factors
• Example Find the polynomial with the zeros of 2,
  4, and -3

1. Write zeros as factors (opposite what you see)
2. Multiply the factors!