# video: HPC: CU 2A: Review: Polynomials

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- Identifying Polynomial Functions and their degrees
- write a LINEAR equation given two ordered pairs
- average rate of change
- vertex from of a quadratic equation
- Matching quadratic equation to their graphs
- Graphing a quadratic function in vertex form-
- Finding the vertex and axis of symmetry of a quadratic function
- Rewriting a quadratic equation in Vertex Form by Completing the Square
- Writing the equation from the graph of a quadratic function
- determine whether a given function is a power function
- direct variation and inverse variation
- determine whether a given function is a Monomial function
- graphing power functions
- Analyze Power Functions: Domain, Range, Continuity, Symmetry, Boundedness, Local Extrema, Asymptotes, End Behavior: (use limit notation)
- Write statements as a power function equation
- Write a sentence that expresses the relationship in a formula, using the language of variation or proportion
- Using a grapher to calculate a power regression equation for data
- Applications of power functions
- Describe transformations of power function then sketch a graph of the power function
- Leading coefficient test for polynomial end behavior
- Using Limits to describe end behavior
- Solving polynomial functions algebraically
- State the degree and list the zeros of the polynomial function
- State the multiplicity of each zero and whether the graph crosses the x-axis at the corresponding x-intercept
- Use the zeros and their multiplicities to sketch a graph of the polynomial function
- Intermediate Value Theorem
- Using a grapher to find the zero’s of a polynomial function
- Writing a polynomial from its zero’s
- Finding a regression equation for a set of data
- Long Division of Polynomials
- Write quotient in both polynomial and fraction form
- Synthetic Division
- Remainder theorem
- Factor theorem
- use the Rational Zeros Theorem to solve Polynomial Equations
- Use the graph to guess possible linear factors of f(x). Then completely factor f(x)
- write a polynomial equation given it’s zero’s an leading coefficient
- write a polynomial equation given a table of values
- upper and lower bound tests
- prove all zero’s lie within a given interval
- Find all of the real zeros of the function. Give exact values whenever possible. Identify each zero as rational or irrational
- Non-linear system of equation (supply = demand)
- Math XL problems to review CU 2A: Polynomials
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55 minutes
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