From the law the fact that and the fact that you should be able to prove the first part easily.

Results 1 to 9 of 9

- July 10th 2009, 10:14 AM #1

- Joined
- Aug 2008
- Posts
- 172

## please help me

use complex analysis to factor the following polynomials into a product of two quadratic polynomials:

---------------------------------------------------------------------------------------------------------------

sketch :

and determine if the set is :

open,closed,bounded,connected ,simply connected , domain,compact or region

answer :

the given set is :

closed,connected ,simply connected ,and region

but not :

open,bounded,domain,and compact

my question : if the question : arg z not Arg z"principle argument" the answer is the same or not ???

- July 10th 2009, 01:55 PM #2

- Joined
- Jul 2009
- Posts
- 152

- July 11th 2009, 07:05 PM #3

- Joined
- May 2006
- From
- Lexington, MA (USA)
- Posts
- 12,026
- Thanks
- 844

- July 11th 2009, 08:49 PM #4

- July 12th 2009, 03:59 AM #5
I suspect the OP meant two quadratic polynomials

*with real coefficients*.

Unfortunately, in an exam setting, if the question gives the instruction to use complex analysis then a correct answer using an alternative technique will not score any marks. Not even an answer mark.

Start by finding the four complex roots of -1. Can you do this? (If not, see http://www.mathhelpforum.com/math-he...ex-number.html, for example).

- July 12th 2009, 04:19 AM #6

- July 12th 2009, 10:56 AM #7

- Joined
- Aug 2008
- Posts
- 172

- July 12th 2009, 11:00 AM #8

- Joined
- Aug 2008
- Posts
- 172

- July 12th 2009, 05:23 PM #9