Determine Zeros Where a Function Touches the x-axis and Turns Around

Math Problem Statement

At which zeros does the graph of the function touch the x-axis and turn around?

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Algebra
Polynomials
Roots and Zeros of Functions

Factoring of polynomials
Multiplicities of roots

Multiplicity of Zeros Theorem

Grades 9-11

Understanding Multiplicity and Zeros of Polynomial Functions

Understanding Polynomial Zeroes and Multiplicity

Identifying Zeros and Multiplicities in Polynomial Graphs

Finding Zeros and Multiplicities of Polynomial Functions

Identifying Zeros and Multiplicity of a Polynomial Function Using a Graph