107k views
0 votes
The degree of the term of the polynomial with the greatest degree is called

2 Answers

4 votes

Final answer:

The degree of the term with the greatest degree in a polynomial is known as the degree of the polynomial. It is determined by the term with the highest exponent.

Step-by-step explanation:

The degree of the term of the polynomial with the greatest degree is called the degree of the polynomial. In any polynomial, terms are usually written in descending order of their degree. So, the first term often represents the term with the highest degree, and thus, determines the degree of the entire polynomial. For example, in the polynomial 3x4 + 5x3 - 2x + 6, the term 3x4 is the term with the greatest degree, which is 4. Therefore, the degree of this polynomial is 4.

User Rahul Ruikar
by
4.7k points
2 votes

Answer: Degree of the polynomial.

Step-by-step explanation:

For this exercise it is important to remember that, by definition, you can find the "Degree of a polynomial" by identifying the greatest degree of its terms.

The "Leading term" of a polynomial is defined as the term with the highest power of the variable of the polynomial.

The numbers located in front to the variable (those numbers that multiply the variable) are called "Coefficients". The coefficient of the Leading term is known as the "Leading coefficient.

For example, given the following polynomial:


4x^2+x-11

You can identify that, in this case:


Degree\ of\ the\ polynomial:\ 2\\\\Leading\ term:4x^2\\\\Leading\ coefficient:4

User Alextk
by
5.0k points