Question

Identify each expression as a polynomial or not a polynomial. For each polynomial, give the degree and identify it as a monomial, binomial, trinomial, or none of these. 5

Accepted Answer

Step 1: Understand the definition of a polynomial. A polynomial is an algebraic expression consisting of terms that are variables raised to non-negative integer exponents, combined using addition, subtraction, and multiplication by constants. No variables can be in denominators, under roots, or have negative or fractional exponents. Step 2: Examine the given expression, which is the number 5. Since 5 is a constant term, it can be considered a polynomial with no variable terms. Step 3: Determine the degree of the polynomial. The degree of a polynomial is the highest exponent of the variable in the expression. Since 5 has no variable, its degree is 0. Step 4: Classify the polynomial by the number of terms. A monomial has one term, a binomial has two terms, and a trinomial has three terms. Since 5 is a single term, it is a monomial. Step 5: Conclude that the expression 5 is a polynomial, specifically a monomial of degree 0.

Identify each expression as a polynomial or not a polynomial. For each polynomial, give the degree and identify it as a monomial, binomial, trinomial, or none of these. 5

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Key Concepts

Definition of a Polynomial

Degree of a Polynomial

Classification by Number of Terms