Theory of Equation

This topic covers concepts such as Polynomial, Remainder Theorem, Polynomial as a Product of Linear Factors, Some Important Identities in Polynomial, Divisibility of One Polynomial by Other Polynomial, Common Factors in Polynomials, etc.

This topic covers concepts such as Quadratic Equation, Roots of a Quadratic Equation, Solving a Quadratic Equation, Solving a Quadratic Equation Using Factorisation, Quadratic Expression in the Form of a Perfect Square, etc.

This topic covers concepts such as Condition for the Common Roots, Common Root of Two Quadratic Equations, Quadratic Equations with Both Roots Common, and Quadratic Equations with Exactly One Common Root.

This topic covers concepts such as Nature of Roots of Quadratic Equation, Real and Imaginary Roots of a Quadratic Equation, Rational and Irrational Roots of a Quadratic Equation, Integral Roots of a Quadratic Equation, etc.

This topic covers concepts such as Quadratic Expression, Properties of Graph of a Quadratic Expression, Absolute Range of a Quadratic Expression, Range of a Quadratic Expression in Given Domain, Range of Rational Expressions, etc.

This topic covers concepts such as Roots Lie in an Interval, Quadratic Equation with Both the Roots Greater than 'k', Quadratic Equation with Both the Roots Less than 'k', Quadratic Equation with 'k' Lying between the Roots, etc.

This topic covers concepts such as Finding Roots of an Equation of Higher Degree, Bi-quadratic Expression as a Perfect Square, Relation between Roots and Coefficients of Higher Degree Equation, Nature of Roots of Higher Degree Equation, etc.