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Quadratic Equations

Mathematics · Chapter 6 · Unit 2: Algebra

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Topics 5

  1. Fundamental theorem of algebra (statement); solving quadratic equations with real coefficients by the formula, including complex roots
  2. Equations reducible to quadratic form
  3. Nature of roots; sum and product of roots; roots that are rational, irrational, equal, reciprocal or one the square of the other
  4. Forming quadratic equations with given roots; equations whose roots are functions of given roots (e.g. alpha^3, beta^3); common roots
  5. Quadratic functions: sign of ax^2 + bx + c for a > 0 and a < 0; graph; maximum or minimum value