CALCULUS Understanding
Its Concepts and Methods
CALCULUS Understanding
Its Concepts and Methods
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
form
and
of the
form
where
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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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.