# What is the same as the degree of the term with the highest largest degree?

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The degree of a polynomial is the greatest degree of any of its monomial terms. Equivalently, we can say that the degree of a polynomial is the greatest sum of the exponents of the variables in any single term of the polynomial. The term with the highest degree in a polynomial is called its **leading term**.

## What is the degree of the term with the highest degree?

The term with the highest degree is called the leading term because it is usually written first. The coefficient of the leading term is called the leading coefficient.## What is the degree of the greatest degree of any of the terms?

The Degree of a Polynomial is the largest of the degrees of the individual terms. Add the degrees of the variables of each term to decide what is the Degree of the Polynomial. Degree of term 1 is 2 (1+1= 2), Degree of term 2 is 6 (2+4 = 6), Degree of term 3 is 7 (5+2 = 7) 7 is the Degree of the Polynomial.## What is given by the term with the greatest degree?

The degree of the polynomial is the highest power of the variable that occurs in the polynomial. The leading term is the term containing the highest power of the variable: the term with the highest degree. The leading coefficient is the coefficient of the leading term.## What is an example of a leading term?

In a polynomial, the leading term is the term with the highest power of x. For example, the leading term of 7+x−3x2 is −3x2. The leading coefficient of a polynomial is the coefficient of the leading term.## How To Find The Degree of a Polynomial | Precalculus

## What is degree and leading term?

The leading term in a polynomial is the term with the highest degree. x8. The leading coefficient of a polynomial is the coefficient of the leading term.## How do you name the degree of a polynomial?

The following names are assigned to polynomials according to their degree:

- Special case – zero (see § Degree of the zero polynomial, below)
- Degree 0 – non-zero constant.
- Degree 1 – linear.
- Degree 2 – quadratic.
- Degree 3 – cubic.
- Degree 4 – quartic (or, if all terms have even degree, biquadratic)
- Degree 5 – quintic.

## What is the greatest degree of a polynomial?

A polynomial's degree is the highest or the greatest power of a variable in a polynomial equation. The degree indicates the highest exponential power in the polynomial (ignoring the coefficients).## When the terms are in order from greatest degree to least degree?

The terms of a polynomial are usually arranged so that the terms are in order from greatest degree to least degree. This is called the standard form of a polynomial.## What is an equation where the highest degree among the terms is 1?

A linear equation in one variable is an equation with the exponent 1 on the variable. These are also known as first‐degree equations, because the highest exponent on the variable is 1.## What are terms examples?

A term is a word or expression used with a particular meaning. "Rap," "punk," "grunge," and "heavy metal" are terms that describe particular styles of music. "Sweetie" is a term of endearment, at least to most people.## What is a polynomial with 5 terms?

The prefix "quint-" comes from the Latin word for "five," and it is used to indicate that the polynomial has five terms. Polynomials are named for their degree as constant, linear, quadratic, cubic, quartic (or biquadratic), quintic, etc. , although, it only takes a single term of degree-n to determine this.## How do you find the leading term?

The leading term of a polynomial is just the term with the highest degree, and we see this is 3x5 . The leading coefficient is just the number multiplying the highest degree term. The coefficient on 3x5 is 3 . The constant term is just a term without a variable.## What is a 8 year degree called?

An “eight-year degree” typically refers to a doctorate degree or PhD.## Is a PhD the highest degree?

A PhD is a doctoral research degree and the highest level of academic qualification you can achieve. The degree normally takes between three and four years of full-time work towards a thesis offering an original contribution to your subject.## Is it possible to get a 4 year degree in 2 years?

Typically, accelerated bachelor's programs take closer to three years to complete. But you may be able to reduce it to two years if you use transfer credits, make a custom degree plan, or enroll in a degree-completion program.## What is a polynomial with 7 terms called?

A septic function (also called a 7th degree polynomial) is a polynomial function with a degree of 7 (a “degree” is just the number of the highest exponent). All of the following are septic functions: x^{7}– 3x

^{6}– 7x

^{4}+ 21x

^{3}– 8x + 24.

## What is the degree of the term?

For a term with one variable, the degree is the variable's exponent. With more than one variable, the degree is the sum of the exponents of the variables.## What are 5 examples of polynomials?

Examples of polynomials:

- 2a + 5b is a polynomial of two terms in two variables a and b.
- 3xy + 5x + 1 is a polynomial of three terms in two variables x and y.
- 3y
^{4}+ 2y^{3}+ 7y^{2}– 9y + 3/5 is a polynomial of five terms in two variables x and y. - m + 5mn – 7m
^{2}n + nm^{2}+ 9 is a polynomial of four terms in two variables m and n.