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777dan777 [17]
3 years ago
14

What is the degree of the polynomial a4 + b3 - 2ab + c?

Mathematics
2 answers:
lesya [120]3 years ago
6 0

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.

abruzzese [7]3 years ago
5 0
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:
 a ^ 4 + b ^ 3 - 2ab + c

 The term with the greatest exponent is:
 a ^ 4

 Therefore, the polynomial is of degree 4.
 Answer:
 
The polynomial is of degree 4.
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