The degree of a polynomial is the highest of the degrees of the polynomial's monomials (individual terms) with non-zero coefficients. The degree of a term is the exponents of the variable in that term, in this case the exponent of x in each term.
In this case the highest degree of the monomials is 4 so the degree of the polynomial is 4.
The end behavior of a polynomial function is the behavior of the graph of f(x) as x approaches positive infinity or negative infinity.
In this case we have that the polynomial behavior when x approaches to positive infinity is - infinity beacse the highest monomial in terms of degree is negative and also other terms
[tex]-\infty[/tex]
When approaches to negative infinity the behavior is also - infinity because we have terms with odd exponents
