## Welcome to BrainDen.com - Brain Teasers Forum

Welcome to BrainDen.com - Brain Teasers Forum. Like most online communities you must register to post in our community, but don't worry this is a simple free process. To be a part of BrainDen Forums you may create a new account or sign in if you already have an account. As a member you could start new topics, reply to others, subscribe to topics/forums to get automatic updates, get your own profile and make new friends. Of course, you can also enjoy our collection of amazing optical illusions and cool math games. If you like our site, you may support us by simply clicking Google "+1" or Facebook "Like" buttons at the top. If you have a website, we would appreciate a little link to BrainDen. Thanks and enjoy the Den :-) |

# reversed coefficients

### #1

Posted 03 March 2014 - 06:27 PM

If P(x) and Q(x) have 'reversed' coefficients,

for example:

P(x) = x^{5}+3x^{4}+9x^{3}+11x^{2}+6x+2

Q(x) = 2x^{5}+6x^{4}+11x^{3}+9x^{2}+3x+1

What can you say about the roots of P(x) and Q(x)?

### #2

Posted 03 March 2014 - 09:51 PM

### #3

Posted 22 March 2014 - 12:50 AM Best Answer

**Edited by bonanova, 25 March 2014 - 12:24 AM.**

spoiler

### #4

Posted 24 March 2014 - 02:58 AM

Spoiler for spoiler

One possibility you hadn't addressed: What about roots which are 0, and possibly with multiplicity?

### #5

Posted 24 March 2014 - 04:21 PM

good point!

### #6

Posted 26 March 2014 - 12:58 AM

Spoiler for I'd say that

#### 0 user(s) are reading this topic

0 members, 0 guests, 0 anonymous users