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Cengage JEE Advanced Algebra
·
Module 1
Quadratic Equations and Expressions
1
Vieta's Formulas and Symmetric Root Functions
Apply Vieta's formulas to find symmetric functions of roots of quadratic and polynomial equations.
2
Solving Polynomial Inequalities with the Wavy Curve Method
Solve quadratic and polynomial inequalities using the wavy curve (sign diagram) method.
3
Quadratic Roots and Real Numbers
Solve problems on the location of roots of a quadratic relative to one or two real numbers.
4
Common Roots of Quadratic Equations
Find conditions for two quadratic equations to have one or both common roots.
Solving Reducible to Quadratic Equations
Solve equations reducible to quadratic form using appropriate substitutions.
Finding the Range of Quadratic Expressions
Find the range of quadratic expressions using vertex form and discriminant.
7
Range of Rational Functions Using the Discriminant
Find the range of rational functions by analyzing the discriminant of the corresponding quadratic equation in x.
8
Parametric Quadratics & Discriminant Analysis
Solve problems involving parametric quadratic equations for specific root properties using discriminant analysis.
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