8 May
2009
8 May
'09
11:53 a.m.
Puzzle: find a trinomial with maximal |coefficient| < some coefficient of a(n irreducible) factor.
x^70-x^35+1 has irreducible factor x^48-x^47+x^46+x^43-x^42+2*x^41-x^40+x^39+x^36-x^35+x^34-x^33+x^32 -x^31-x^28-x^26-x^24-x^22-x^20-x^17+x^16-x^15+x^14-x^13+x^12+x^9 -x^8+2*x^7-x^6+x^5+x^2-x+1 Note the coefficient of x^41 and also of x^7 is 2.