Graphing Polynomial Functions with Repeated Factors - Concept

Concept Concept (1)

The behavior of polynomial functions graphs near a repeated factor is different than what we expect from polynomial functions with terms in sequential degrees. In polynomial functions with repeated factors, the end behavior and x-intercepts will always be the same as the normal polynomial functions. However, the graph will behave differently as it approaches one of the x-intercepts.

Sample Sample Problems (3)

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Graphing Polynomial Functions with Repeated Factors - Problem 1
Problem 1
How we graph a cubic (3rd degree polynomial) function with one repeated factor.
Graphing Polynomial Functions with Repeated Factors - Problem 2
Problem 2
How we graph a quartic (4th degree polynomial) function with three repeated factors.
Graphing Polynomial Functions with Repeated Factors - Problem 3
Problem 3
How we graph a quintic (5th degree polynomial) function with two repeated factors.