- Graph a quadratic function, finding the vertex (formula method and completing the square method), x-intercepts and y-intercept.
- Use long division and synthetic division to divide polynomials by other polynomials.
- Perform operations with complex numbers and plot complex numbers in the number plane.
- Graph polynomial functions by finding the x-intercepts and y-intercepts, including double and triple roots.
- Determine the number of rational and real zeros of polynomial functions, and find them.
- Write a polynomial equation given its roots. Know and apply the Fundamental Theorem of Algebra. Apply ponynomial functions to model and solve problems.
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