degree = 4
Work Step by Step
Write the terms polynomial in standard form (descending degree) to obtain $-12x^4-4x^3+x^2+9x+63.$ The degree of a polynomial is equal to the degree of the term with the highest degree. The degree of a term with one variable is equal to the exponent of the variable. Thus, the terms of the given polynomial have the following degrees: First term: $4$ Second Term: $3$ Third Term: $2$ Fourth Term: $1$ Fifth Term: $0$ ( the degree of a constant is 0) The highest degree is 4, therefore the degree of the polynomial is $4$.