diff --git a/poly.py b/poly.py
new file mode 100644
index 0000000..b779e08
--- /dev/null
+++ b/poly.py
@@ -0,0 +1,18 @@
+# Finding roots of polynomials in p-adic integers using Hensel's lemma
+
+from padic import *
+from collections import defaultdict
+
+class Poly:
+    'Polynomial class.'
+    def __init__(self, coeffs = None):
+        self.coeffs = defaultdict(int, coeffs or {})
+        self.deg = 0
+    # TODO arithmetic
+
+X = Poly({1:1})
+
+class ConstPoly(Poly):
+    'Constant polynomial.'
+    def __init__(self, coeff):
+        Poly.__init__(self, {0:coeff})