Video - August 18, 2016; 3:00 AM ET. Rio 2016: Heat to build into early week. News - August 15, 2016; 2:34 AM ET. After rain caused several rounds of delays and postponements during the first week of the Summer Games, building heat could make for uncomfortable conditions into early this week.
Polynomials in one variable are algebraic expressions that consist of terms in the form where n is a non-negative (i.e. positive or zero) integer and a is a real number and is called the coefficient of the term. The degree of a polynomial in one variable is the largest exponent in the polynomial. Note that we will often drop the âin one variableâ part and just say polynomial. Here are examples of polynomials and their degrees. So, a polynomial doesnât have to contain all powers of x as we see in the first example.
For example, the polynomial x 2 y 2 + 3 x 3 + 4 y has degree 4, the same degree as the term x 2 y 2. However, a polynomial in variables x and y, is a polynomial in x with coefficients which are polynomials in y, and also a polynomial in y with coefficients which are polynomials in x.or example, the polynomial has three terms. (Notice, this polynomial can also be expressed as .) The first term has a degree of 5 (the sum of the powers 2 and 3), the second term has a degree of 1, and the last term has a degree of 0. Therefore, the polynomial has a degree of 5 which is the highest degree of any term.