Exercise 2.

Factor the polynomial tex2html_wrap_inline24 completely (a) over the real numbers, (b) over the complex numbers.

Answer.

We can first pull out an x term:

displaymath26

The polynomial tex2html_wrap_inline34 has the roots tex2html_wrap_inline36 by the quadratic formula. It is thus irreducible over the real numbers. Consequently, over the real numbers, the polynomial factors completely as

displaymath27

over the complex numbers, the polynomial factors completely into

displaymath28

[Back] [Exercises] [Next]
[Algebra] [Trigonometry] [Complex Variables]
[Calculus] [Differential Equations] [Matrix Algebra]

S.O.S MATHematics home page

Do you need more help? Please post your question on our S.O.S. Mathematics CyberBoard.

Helmut Knaust
Tue Jun 24 09:45:58 MDT 1997

Copyright 1999-2017 MathMedics, LLC. All rights reserved.
Contact us
Math Medics, LLC. - P.O. Box 12395 - El Paso TX 79913 - USA
users online during the last hour