Precalculus » B. Quadratic, Polynomial, and Exponential Functions » B.2. Polynomial Functions

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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