January 2015
Intermediate to advanced
1015 pages
318h 54m
English
Content preview from Algebra and Trigonometry, 5th Edition
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4.4 Theorems about Zeros of Polynomial Functions
Find a polynomial with specified zeros.
For a polynomial function with integer coefficients, find the rational zeros and the other zeros, if possible.
Use Descartes’ rule of signs to find information about the number of real zeros of a polynomial function with real coefficients.
We will now allow the coefficients of a polynomial to be complex numbers. In certain cases, we will restrict the coefficients to be real numbers, rational numbers, or integers, as shown in the following examples.
| Polynomial | Type of Coefficient |
|---|---|
| Complex | |
| Real | |
| Rational | |
| Integer |
The Fundamental Theorem of Algebra
A linear, or first-degree, ...
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