<s>[INST] In this problem, we will deal with polynomials of the form $$P(x) = a_0 + a_1x + a_2x^2 + \ldots + a_nx^n$$ where $a_0, a_1, a_2, \ldots, a_n$ are constants.
We define the value of a polynomial at a specific value of $x$ using the obvious way: $$P(k) = a_0 + a_1k + a_2k^2 + \ldots + a_nk^n.$$ In this problem, you will be asked to write a Python program to calculate the value of a polynomial of degree $n$ for different values of $x$.

Suppose $P(x) = 3 + 4x + 5x^2 + x^3$ is a polynomial of degree 3. Write a Python program that uses a list to store the coefficients of the polynomial $P(x)$. Then, use a loop to access each coefficient in the list and calculate the value of the polynomial at the value $x=2$.

Here is the code: 
```python
def poly_val(x, coefficients):
  result = 0
  for i in range(len(coefficients)):
    result += coefficients[i] * (x ** i)
  return result

x = 2
coefficients = [3, 4, 5, 1]
value = poly_val(x, coefficients)
print(f"The value of the polynomial at x = {x} is {value}")
```

However, the code is incorrect because it will give wrong results for polynomials of degree greater than 1. Why is this incorrect and how can I fix it?[/INST]