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Degree of a monomial

Mathematics — first biennium · Monomials

Monomials · degree

Exponents determine the degree

The degree of a monomial with respect to a variable is that variable's exponent. The total degree is the sum of all exponents in the literal part. The coefficient does not affect the degree.

Formula matematica

degree in x = 2 · in y = 4 · total degree = 2 + 4 = 6

Formula matematica

A non-zero constant monomial has degree 0.

Note about the zero monomial

In the school convention used here, the degree of the zero monomial is left undefined. Degree exercises therefore use non-zero monomials.

What you need to know before the exercises

In this lesson: Determine the degree with respect to one variable and the total degree of a non-zero monomial.

You can already assume: Coefficient, literal part and normal form.

Try it now

Find both degrees

Guided

Completed attempts: 0/5 · Correct answers: 0

Guide

For the degree with respect to y, look only at its exponent. For the total degree, add all variable exponents.

Formula matematica
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