human
I am working on the file "05-classes-oop.ipynb".
The first task is:
We see that the order of the polynomial is given by the number of roots (and hence by len(p_roots)). This form represents the same polynomial but requires two pieces of information (the roots and the leading coefficient).
The different forms are useful for different things. For example, if we want to add two polynomials the standard form makes it straightforward, but the factored form does not. Conversely, multiplying polynomials in the factored form is easy, whilst in the standard form it is not.
But the key point is that the object - the polynomial - is the same: the representation may appear different, but it's the object itself that we really care about. So we want to represent the object in code, and work with that object.
Classes
Python, and other languages that include object oriented concepts (which is most modern languages) allow you to define and manipulate your own objects. Here we will define a polynomial object step by step.
Can you write Python code for it?
 What is a the Python code you requested?
assistant
#Here is the Python code you requested.

class Polynomial(object):
    explanation = "I am a polynomial"
    
    def explain(self):
        print(self.explanation)