why the exponents can not be negative
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.
Terms
polynomial
No. It would not be a polynomial function then.
Yes, it is since it is a finite sum and the terms all have non-negative exponents.
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
You can't. You can only subtract like terms. Like terms must have exactly the same variables and exponents on the variables.
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.