CTK Exchange
Front Page
Movie shortcuts
Personal info
Awards
Reciprocal links
Terms of use
Privacy Policy

Interactive Activities

Cut The Knot!
MSET99 Talk
Games & Puzzles
Arithmetic/Algebra
Geometry
Probability
Eye Opener
Analog Gadgets
Inventor's Paradox
Did you know?...
Proofs
Math as Language
Things Impossible
My Logo
Math Poll
Other Math sit's
Guest book
News sit's

Recommend this site

Manifesto: what CTK is about |Store| Search CTK Buying a book is a commitment to learning Table of content Things you can find on CTK Chronology of updates Email to Cut The Knot Recommend this page

CTK Exchange

Subject: "Remainder Theorem"     Previous Topic | Next Topic
Printer-friendly copy     Email this topic to a friend    
Conferences The CTK Exchange College math Topic #463
Reading Topic #463
Azzi Jang
guest
Jul-11-04, 10:54 AM (EST)
 
"Remainder Theorem"
 
   (Confusing~~)

When you have P(x) = X^^3 + X + 42,
you are trying to test if P(x) is factorized by
X + 42.

Then this problem is equivalent to testing
if Q(X) = X^^3 is factorized (divided) by X+42.

Then plugging in (-42) into X of Q(X) gives
(-42)^^3 is not zero.

But if X = 7 ,

X^^3 is divide by X+42=49.

What is the real trouble here?


  Alert | IP Printer-friendly page | Reply | Reply With Quote | Top
alexbadmin
Charter Member
1303 posts
Jul-12-04, 11:18 AM (EST)
Click to EMail alexb Click to send private message to alexb Click to view user profileClick to add this user to your buddy list  
3. "RE: Remainder Theorem"
In response to message #0
 
   >When you have P(x) = X^^3 + X + 42,
>you are trying to test if P(x) is factorized by
>X + 42.
>
>Then this problem is equivalent to testing
>if Q(X) = X^^3 is factorized (divided) by X+42.
>
>Then plugging in (-42) into X of Q(X) gives
>(-42)^^3 is not zero.

This means that

X3 = S(X)·(X + 42) - 423.

>
>But if X = 7 ,
>
>X^^3 is divide by X+42=49.
>
>What is the real trouble here?

No trouble at all since in

73 = S(7)·(7 + 42) - 423

all the terms are divisible by 49.


  Alert | IP Printer-friendly page | Reply | Reply With Quote | Top

Conferences | Forums | Topics | Previous Topic | Next Topic

You may be curious to have a look at the old CTK Exchange archive.
Please do not post there.

|Front page| |Contents|

Copyright © 1996-2018 Alexander Bogomolny

71492526