We present an efficient randomized algorithm to test if a given function f : Fn p  Fp (where p is a prime) is a low-degree polynomial. This gives a local test for Generalized Reed-Muller codes over prime fields. For a given integer t and a given real > 0, the algorithm queries f at 1 + t 							
						
							
					 															
					Charanjit S. Jutla, Anindya C. Patthak, Atri Rudra