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. 9

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. There should be no variables in denominators, no negative or fractional exponents, and no variables inside functions like square roots or absolute values. Step 2: Examine the given expression, which is the number 9. Since 9 is a constant term, it can be considered as 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 9 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 9 is a single term, it is a monomial. Step 5: Conclude that the expression 9 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. 9

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Key Concepts

Definition of a Polynomial

Degree of a Polynomial

Classification by Number of Terms