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Unit 3 - Polynomial and Rational Functions

 

Unit 3:  POLYNOMIAL AND RATIONAL FUNCTIONS

By the end of this unit, you should be able to say “I CAN”…

Goal: The students will demonstrate the ability to solve polynomial equations and sketch and analyze graphs of polynomial and rational functions.

 

a. Divide polynomials.

b. Apply the Remainder and Factor Theorems.

c. Determine the maximum number of zeros of a polynomial.

d. Find all rational zeros of a polynomial (rational zero test, Descartes Rule of Signs).

e. Simplify and perform operations on complex numbers.

f. Solve for the complex zeros of a polynomial.

g. Analyze and sketch polynomial functions using continuity, end behavior, intercepts, local extrema, and points of inflections.

h. Use polynomial functions to model and solve real-world problems.

 i.  Find the domain of a rational function