Electronic Proceedings of the Twentyfourth Annual International Conference on Technology in Collegiate MathematicsOrlando, Florida, March 2225, 2012Paper C014
This is an electronic reprint, reproduced by permission of Pearson Education Inc. Originally appeared in the Proceedings of the Twentyfourth Annual International Conference on Technology in Collegiate Mathematics, ISBN 0321869699, Copyright (C) 2013 by Pearson Education, Inc. 
Solving Quartic Congruences Modulo a Prime On the TI89 
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The author will present a technique which implements a factoring method of solving the quartic congruence: Ax
^{4} + Bx
^{3} + Cx
^{2} + Dx + E = 0 (mod p) where p is a prime. Discussion will center around the components needed to apply the method in this situation: modular exponentiation, modular inverses and finding square roots and cube roots modulo a prime p.
Keyword(s): number theory