In PYTHON Please:

You are to provide the methods iszero$(),$ eval$($a$),$ degree$(),$ and lowest$\_$term$().$ The iszero$()$ method returns a Boolean that reports whether the polynomial is the zero polynomial. The eval$($a$)$ method returns the evaluation of the polynomial at $x=a.$ The degree$()$ method returns the degree of the polynomial; for simplicity, return $0$ for the zero polynomial. $($Strictly speaking, the degree of the zero polynomial is undefined.$).$ The lowest$\_$term$()$ method returns the exponent of the lowest non$-$zero term.

You are to provide the method horners$()$ that will return a string of the Horner's rule representation of the polynomial. The Horner's rule representation of the polynomial $a_n{x}^n+a_{n-1}{x}^{n-1}+$dots.$+a_{1}x+a_0$ is the string $".$ Zero terms and a coefficient $a_n$ of $1$ must not be included in the return string. For example, for the polynomial $-x^4+3x^2+5,$ the method should return the string $"x(x(x(-x)+3))+5".$Polynomials and Linked lists

Polynomial class

You are to implement a Polynomial class that supports an integer polynomial datatype. Quite often, such a datatype can be implemented using a list or an array. However, our Polynomials will be sparse, meaning that a lot of terms will be zero. In such a case, only the nonzero terms should be stored in the data structure. For this assignment, you must use a linked list to store the nonzero terms of the polynomial.