Question

Identify the coefficient and degree of each monomial. $$8$$

   Identify the coefficient and degree of each monomial.
$$8$$

Prealgebra

Tom Carson 4th Edition

Chapter 3, Problem 17

Instant Answer

Solved by Expert Julie Silva

05/10/2020

Step 1

This term does not have a variable, so we can rewrite it as $8x^0$ because any variable raised to the power of zero is equal to one. Show more…

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Identify the coefficient and degree of each monomial. $$8$$

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Key Concepts

Monomial

A monomial is a single term in an algebraic expression. It typically consists of a coefficient multiplied by one or more variables raised to nonnegative integer powers. Monomials are the building blocks of polynomial expressions and can sometimes include only a constant term.

Coefficient

The coefficient of a monomial is the numerical factor that accompanies the variable part. It represents the scalar multiplication applied to the variable component of the term. When no coefficient is explicitly written, it is usually understood to be 1.

Degree

The degree of a monomial is determined by adding up the exponents of all the variables in the term. For a constant monomial, which does not include any variables, the degree is defined to be 0.

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