Answer :

carlosego
For this case we have a polynomial of two variables.
 The variables of the polynomial are:
 variable 1: a
 variable 2: b
 The degree of the polynomial, in this case, is given by the term of the polynomial that has the highest exponent.
 We then have the following polynomial:
 [tex]a ^ 4 + b ^ 3 - 2ab + c [/tex]
 The term with the greatest exponent is:
 [tex]a ^ 4 [/tex]
 Therefore, the polynomial is of degree 4.
 Answer:
 The polynomial is of degree 4.
aachen

The degree of any given polynomial is said to be the highest power in the exponent of variables given in the polynomial.

For example, quadratic equations like (4x² + 4x + 1) have degree 2.

Here given polynomial is (a⁴ + b³ - 2a·b + c), this polynomial is a multivariable expression.

It is clearly visible that the highest power in the exponent of its variables is 4.

So, the degree of the given polynomial is 4.

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