All about flooble | fun stuff | Get a free chatterbox | Free JavaScript | Avatars    
perplexus dot info

Home > Numbers
Perplexing Polynomial Puzzle (Posted on 2005-06-13) Difficulty: 3 of 5
Ask an opponent to choose a polynomial p(x) with nonnegative integer coefficients (of any degree). Tell him you can determine what it is (degree and coefficients) with just two values: you choose a and ask for p(a), then choose b and ask for p(b). What is a winning strategy?

See The Solution Submitted by Bractals    
Rating: 4.3333 (12 votes)

Comments: ( Back to comment list | You must be logged in to post comments.)
Solution Perplexing! Comment 6 of 6 |

First, choose a=1. That will give you the sum of the coefficients. Then, choose a power of 10 that is greater than p(1) for b. That will give you the coefficients.

For example, suppose p(1)=7. Then, the sum of the coefficients is 7. Then, choose b=10. Suppose p(10)=232. Then, the polynomial is 2x^2+3x+2.

 


  Posted by Math Man on 2012-04-30 15:38:59
Please log in:
Login:
Password:
Remember me:
Sign up! | Forgot password


Search:
Search body:
Forums (0)
Newest Problems
Random Problem
FAQ | About This Site
Site Statistics
New Comments (5)
Unsolved Problems
Top Rated Problems
This month's top
Most Commented On

Chatterbox:
Copyright © 2002 - 2018 by Animus Pactum Consulting. All rights reserved. Privacy Information