how do i identify the degree of each term and the degree of the polynomial:
7x-8x^2+9-5x^3
The degree of each term is the exponent power of x, and the degree of the equation is the degree of the term with largest exponent.
thanks again man
To identify the degree of each term in the given polynomial, you need to understand the concept of degree.
The degree of a term is determined by the exponent of its variable. In this case, the variable is "x." Let's break down each term in the polynomial and identify their degrees:
1. The term "7x" has a coefficient of 7, with the variable "x" raised to the power of 1 (since there's no written exponent). Therefore, the degree of this term is 1.
2. The term "-8x^2" has a coefficient of -8, with the variable "x" raised to the power of 2. Hence, the degree of this term is 2.
3. The term "9" does not have any variable, so it can be written as "9x^0" (since any non-zero number raised to the power of 0 is 1). The variable "x" is raised to the power of 0, making it a constant term. Constant terms have a degree of 0.
4. The term "-5x^3" has a coefficient of -5, with the variable "x" raised to the power of 3. Therefore, the degree of this term is 3.
To determine the degree of the polynomial, you need to find the highest degree among all the terms. In this case, the highest degree is 3 (from the term "-5x^3"). Therefore, the degree of the polynomial is 3.