Q: The exponents in the terms of a polynomial must be?

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polynomial

No. It would not be a polynomial function then.

Polynomial

highest total of the exponents

A polynomial with two terms is called a binomial.

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Terms

polynomial

Yes, it is since it is a finite sum and the terms all have non-negative exponents.

No. It would not be a polynomial function then.

The degree of a polynomial is the highest degree of its terms. The degree of a term is the sum of the exponents of the variables that appear in it.For example, the polynomial 8x2y3 + 5x - 10 has three terms. The first term has a degree of 5, the second term has a degree of 1, and the last term has a degree of 0. Therefore, the polynomial is degree five.

A polynomial term must have only a positive integer exponent for its variable(s). As we know a term is a number or a multiplication of a number and one or more variables associated by their exponents. Examples of terms: 2, -x, 3x2y, √5x5y-9z3w, 8x-7, 3/5, x2/3/y ect. Examples of polynomial terms: -10, -15z, √2x3y2z, 3x2y, ect.

The degree of a polynomial is the highest degree of its terms. The degree of a term is the sum of the exponents of the variables that appear in it.7x2y2 + 4x2 + 5y + 13 is a polynomial with four terms. The first term has a degree of 4, the second term has a degree of 2, the third term has a degree of 1 and the fourth term has a degree of 0. The polynomial has a degree of 4.

Polynomial

Degree of a Polynomial

highest total of the exponents

A polynomial has 3 or more terms. It can have exponents and variables. Example: 24x + 74y - 24z 24x = term 1 74y = term 2 24z = term 3 EDIT: Polynomials can have 1 or 2 terms as well. But those are special, they are monomials and binomials.

You can't. You can only subtract like terms. Like terms must have exactly the same variables and exponents on the variables.