Questions: Question 2 Classify the polynomial as a monomial, binomial, or none of these. 4 x^2-81 This polynomial is A. a binomial. C. none of these.

Transcript text: Question 2 Classify the polynomial as a monomial, binomial, or none of these. \[ 4 x^{2}-81 \] This polynomial is A. a binomial. C. none of these.

Solution

Solution Steps

To classify the polynomial \(4x^2 - 81\), we need to count the number of terms it has. A polynomial is a monomial if it has one term, a binomial if it has two terms, and a trinomial if it has three terms. The given polynomial has two terms: \(4x^2\) and \(-81\).

Step 1: Identify the Terms in the Polynomial

The given polynomial is \(4x^2 - 81\). To classify it, we first identify the number of terms it contains. A term in a polynomial is a part of the expression separated by a plus (\(+\)) or minus (\(-\)) sign.

Step 2: Count the Number of Terms

The polynomial \(4x^2 - 81\) consists of two terms: \(4x^2\) and \(-81\).

Step 3: Classify the Polynomial

A polynomial with two terms is classified as a binomial. Therefore, the polynomial \(4x^2 - 81\) is a binomial.