diff --git a/hashes/polynomial_hash.py b/hashes/polynomial_hash.py
new file mode 100644
index 000000000000..be5c61f2b59a
--- /dev/null
+++ b/hashes/polynomial_hash.py
@@ -0,0 +1,25 @@
+"""
+Calculate the hash of a string using a polynomial rolling hash function.
+
+Args:
+s (str): The input string to be hashed.
+p (int): A prime number to serve as the base for the polynomial hash (default is 31).
+m (int): A large prime number to prevent integer overflow (default is 10^9 + 9).
+
+Returns: int: The computed hash value.
+Wikipedia :: https://en.wikipedia.org/wiki/Hash_function
+"""
+
+
+def polynomial_hash(s, p=31, m=10**9 + 9):
+    hash_value = 0
+    p_pow = 1
+    for char in s:
+        char_value = ord(char) - ord("a") + 1  # Convert character to a numerical value
+        hash_value = (hash_value + char_value * p_pow) % m
+        p_pow = (p_pow * p) % m
+    return hash_value
+
+
+print(polynomial_hash("PythonLanguage"))
+# Output: 877483825