Verify Account

SYLLABUS

 Unit–I

General Properties of Polynomials Graphic representation of a polynomial – Maxima and minima values of polynomials – Theorems relating to the real roots of equations – Existence of a root in the general equation – Imaginary roots – Theorem determining the number of roots of an equation – Equal roots – Imaginary roots enter equations in pairs –Descartes’ rule of signs for positive roots – Descartes’ rule of signs for negative roots.

Unit–II

Roots and Coefficients of Equations Relations between the roots and coefficients – Theorem – Applications of the theorem – Depression of an equation when a relation exists between two of its roots – The cube roots of unity – Symmetric functions of the roots–examples.