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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.
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CategoriesArts and Science
Format EPUB
TypeeBook