Classify the expressions as either a monomial (single term), a binomial (two terms), or a trinomial (three terms).

1. 5x2335*x*2​

2.16−4x2+10x16−4*x*2+10*x*

3. 3x3

4.-x2-16
 

Let's classify each expression as a monomial, binomial, or trinomial:

1. **Expression**: \(5x^2\)
   - **Classification**: **Monomial** (single term)
     - This expression has only one term: \(5x^2\).

2. **Expression**: \(16 - 4x^2 + 10x\)
   - **Classification**: **Trinomial** (three terms)
     - This expression has three distinct terms: \(16\), \(-4x^2\), and \(10x\).

3. **Expression**: \(3x^3\)
   - **Classification**: **Monomial** (single term)
     - This expression has only one term: \(3x^3\).

4. **Expression**: \(-x^2 - 16\)
   - **Classification**: **Binomial** (two terms)
     - This expression has two distinct terms: \(-x^2\) and \(-16\).

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Would you like any further details or have any questions? 

Here are some related questions:

1. What would the classification be for the expression \(7x + 2y + 3\)?
2. How do you classify the expression \(4xy\)?
3. Can you create an example of a polynomial with four terms?
4. What are the steps to add two binomials together?
5. How do you multiply a monomial by a binomial?
6. Can you factorize the trinomial \(x^2 + 5x + 6\)?
7. How do you classify an expression like \(7\) (with no variable)?
8. What is the degree of the trinomial \(2x^3 - 4x + 9\)?

**Tip**: When classifying polynomials, count the number of distinct terms, separated by addition or subtraction signs, to determine whether it is a monomial, binomial, or trinomial.

Understand how to classify polynomials as monomials, binomials, or trinomials with examples and explanations. Learn about the structure of polynomial expressions and how to determine the number of terms in each type. Suitable for students in Grades 7-9 studying algebraic expressions.

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