###### Answer: It is a binomial with a degree of 3.

In mathematics a polynomial is an expression consisting of variables (also called indeterminates) and coefficients that involves only the operations of addition subtraction multiplication and non-negative integer exponentiation of variables. An example of a polynomial of a single indeterminate x is x 2 − 4x + 7.An example in three variables is x 3 + 2xyz 2 − yz + 1.

The Tutte polynomial also called the dichromate or the Tutte–Whitney polynomial is a graph polynomial.It is a polynomial in two variables which plays an important role in graph theory.It is defined for every undirected graph and contains information about how the graph is connected. It is denoted by .. The importance of this polynomial stems from the information it contains about .

In mathematics an irreducible polynomial is roughly speaking a polynomial that cannot be factored into the product of two non-constant polynomials.The property of irreducibility depends on the nature of the coefficients that are accepted for the possible factors that is the field or ring to which the coefficients of the polynomial and…