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Partial fractions, Irreducible polynomial

In the method of partial fractions, we write an arbitrary rational function as a polynomial plus a sum of rational functions of the formMATHand of the formMATHwhere a ≠ 0 and b2 - 4ac < 0 . For example, MATH

A polynomial ax2 + bx + c  with b2 - 4ac < 0  has no real roots, so it cannot be factored as the product of polynomials of smaller degree. Such a polynomial is called irreducible.


A B C D E F G H I J K L M N O P Q R S T U V W X Y Z


Change of variable

Parts

Substitution

Trigonometric substitution


Copyright © 2006 Darel Hardy, Fred Richman, Carol Walker, Robert Wisner. All rights reserved. Except upon the express prior permission in writing, from the authors, no part of this work may be reproduced, transcribed, stored electronically, or transmitted in any form by any method.

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