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Precalculus
»
B.
Quadratic, Polynomial, and Exponential Functions
»
B.2.
Polynomial Functions
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Unit Challenge
End Behavior and Zeros of Polynomials
Overview
Describe the right-hand and left-hand end behavior of the function
Finding the real zeros of a polynomial function
Determine the multiplicity of each zero and the number of turning points of the graph of the function
Approximate a zero of a polynomial function
Write a polynomial function with the given zeros
Write a polynomial function with the given zeros and degree
Polynomials and Synthetic Division
Overview
Polynomial Long Division
Synthetic Division
Write the function in the form f(x)=(x-k)q(x)+r for the given value of k
Use the remainder theorem and synthetic division to find the value of the function
Factor the polynomial completely using synthetic division given one solution
Verify the given factors of the function and find the remaining factors of the function
End Behavior and Zeros of Polynomials — Determine the multiplicity of each zero and the number of turning points of the graph of the function
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