CALCULUS Understanding Its Concepts and Methods
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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 formand of the formwhere a ≠ 0 and b2 - 4ac < 0 . For example,
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.
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Change of variable
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.