Question

Find the degree of each polynomial. $$12 c^{3}$$

   Find the degree of each polynomial.
$$12 c^{3}$$

Prealgebra

Carol E. Malloy,… 1st Edition

Chapter 13, Problem 21

Instant Answer

Solved by Expert Patrick Burns

05/19/2020

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In this case, the polynomial is $$12 c^{3}$$ Show more…

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Find the degree of each polynomial. $$12 c^{3}$$

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Key Concepts

Exponent

The exponent in a monomial or polynomial term indicates the power to which the variable is raised. It plays a crucial role in determining the degree of the term, and consequently the degree of the entire polynomial when all terms are considered.

Monomial

A monomial is a single-term polynomial that consists of a numerical coefficient multiplied by a variable raised to an exponent. Monomials are the simplest form of polynomials and their degree is simply the exponent of the variable present in the term.

Polynomial

A polynomial is an algebraic expression that consists of variables and coefficients, combined using only addition, subtraction, multiplication, and non-negative integer exponents. It can have one or several terms, and its structure and behavior are studied extensively in algebra.

Degree of a Polynomial

The degree of a polynomial is defined as the highest power or exponent of the variable in the expression, once the polynomial is written in its standard form. It indicates the most significant term in determining the behavior of the polynomial, especially for large values of the variable.

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