JEEA-03 — JEE Advanced Math — Quadratic Equations and Theory of Equations

JEE Advanced Math — Quadratic Equations and Theory of Equations

Quadratics and theory of equations for JEE Advanced aspirants.

📋 Course Learning Outcomes

On successful completion of this course, the learner will be able to:

  1. Analyze the location of roots of quadratics relative to given intervals using sign and discriminant tests [Analyze]
  2. Derive transformations of polynomial equations to obtain equations whose roots are functions of original roots [Create]
  3. Apply Vieta's formulas and Descartes' rule of signs to bound and locate real roots [Apply]
  4. Evaluate symmetric functions of roots and Newton's identities for higher-degree polynomials [Evaluate]
  5. Investigate reciprocal and symmetric equations and reduce them to lower-degree forms [Analyze]
  6. Solve JEE Advanced multi-step and integer problems on theory of equations [Evaluate]

📚 Chapters

  1. Quadratic Equations — Nature of Roots
  2. Location of Roots — Interval Analysis
  3. Common Roots of Two Quadratics
  4. Symmetric Functions of Roots
  5. Polynomials — Division Algorithm
  6. Remainder and Factor Theorems
  7. Vieta's Formulas
  8. Transformation of Equations
  9. Descartes' Rule of Signs
  10. Reciprocal and Symmetric Equations
  11. Equations Reducible to Quadratic

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