# What is the degree of a polynomial with more than one variable?

## What is the degree of a polynomial with more than one variable?

When a polynomial has more than one variable, we need to find the degree by adding the exponents of each variable in each term. has a degree of 6 (with exponents 1, 2, and 3). Therefore, the degree of the polynomial is 6.

### How do you find the degree of a polynomial with different variables?

When there are multiple variables, find the degree of a polynomial by determining which term’s exponents have the greatest sum. This is the degree of the polynomial. The 2x4y term is the term with the highest degree, the sum of the exponents in the term 2x4y is 4 + 1 = 5.

How do you determine the degree of a polynomial with multiple terms?

Explanation: To find the degree of the polynomial, add up the exponents of each term and select the highest sum. The degree is therefore 6.

What is the degree of two variable?

For polynomials in two or more variables, the degree of a term is the sum of the exponents of the variables in the term; the degree (sometimes called the total degree) of the polynomial is again the maximum of the degrees of all terms in the polynomial.

## What is the degree of the term of the polynomial with the greatest 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. When a polynomial is written so that the powers are descending, we say that it is in standard form.

### What is the degree of 2 y2 y3 2y8?

So, the highest power to which the variable ‘y’ is raised is 8. That is, the degree of the polynomial \$p(y)\$ is 8. Therefore, the degree of \$2 – {y^2} – {y^3} + 2{y^8}\$ is 8. So, the correct answer is option D.

What is a degree term?

Degree of the Term is the sum of the exponents of the variables. Example. 2x 4y 3 4 + 3 = 7 7 is the degree of the term. 5x-2y 5 NOT A TERM because it has a negative exponent. 8 If a term consists only of a non-zero number (known as a constant term) its degree is 0.

What is a polynomial with one term called?

Polynomial is a general term for one of these expression that has multiple terms, a finite number, so not an infinite number, and each of the terms has this form. But there’s more specific terms for when you have only one term or two terms or three terms. When you have one term, it’s called a monomial.

## What is the degree of a constant polynomial?

A polynomial with degree 0 is called a constant polynomial.

### How do you write the degree of a polynomial?

If a and b are the exponents of the multiple variables in a term, then the degree of a term in the polynomial expression is given as a+b. For example, x2y5 is a term in the polynomial, the degree of the term is 2+5, which is equal to 7. Hence, the degree of the multivariate term in the polynomial is 7.