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Conference rusure::math

Title:Mathematics at DEC
Moderator:RUSURE::EDP
Created:Mon Feb 03 1986
Last Modified:Fri Jun 06 1997
Last Successful Update:Fri Jun 06 1997
Number of topics:2083
Total number of notes:14613

99.0. "P(x^2) factors" by HARE::STAN () Fri Jul 27 1984 00:31

Find a polynomial P(x) with integer coefficients (i.e. in Z[x]) of degree
greater than 1, such that P(x^2) factors over Z[x] but P(x) does not factor.
T.RTitleUserPersonal
Name		DateLines
99.1HARE::STANMon Aug 27 1984 16:4210
Okay, time's up. Here's the answer:

		2
P(x) = 1 + x + x     does not factor,

       2         2    4          2       2
but P(x ) = 1 + x  + x   = (1+x+x )(1-x+x ) .


'Twas an easy one.