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Quadratic Equations and Quadratic Functions
Applied Mathematics · Chapter 7 · Unit 2: Algebra
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- Fundamental theorem of algebra (statement); solving quadratics with real coefficients by formula; equations reducible to quadratic form
- Nature of roots; sum and product of roots; rational, irrational, equal, reciprocal and complex roots
- Forming equations with given roots, including roots such as alpha^3 and beta^3; common roots
- Quadratic functions: graph and sign for a > 0 and a < 0 with real, equal or complex roots
- Maximum and minimum value of a quadratic function