Classify the following polynomials as monomial, binomial,
trinomial, or multinomial. Write your answers on a separate sheet of
paper.

1. 5x2
2. 10
3. y − 1
4. 2x2 − x + 3
5. 13z + 10
6. x3 + x2 − x + 1
7. y2
8. − 4
9. 2y2 − 3y + 5
10. 3y3 + y2

Here’s how you can classify the given polynomials:

1. **5x²**  
   - **Classification:** Monomial  
   - Reason: It has only one term.

2. **10**  
   - **Classification:** Monomial  
   - Reason: It has only one term.

3. **y − 1**  
   - **Classification:** Binomial  
   - Reason: It has two terms.

4. **2x² − x + 3**  
   - **Classification:** Trinomial  
   - Reason: It has three terms.

5. **13z + 10**  
   - **Classification:** Binomial  
   - Reason: It has two terms.

6. **x³ + x² − x + 1**  
   - **Classification:** Multinomial (also called Polynomial)  
   - Reason: It has four terms.

7. **y²**  
   - **Classification:** Monomial  
   - Reason: It has only one term.

8. **−4**  
   - **Classification:** Monomial  
   - Reason: It has only one term.

9. **2y² − 3y + 5**  
   - **Classification:** Trinomial  
   - Reason: It has three terms.

10. **3y³ + y²**  
   - **Classification:** Binomial  
   - Reason: It has two terms.

Would you like more details or have any questions about these classifications?

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Here are 5 related questions to expand your understanding:

1. What are the key differences between monomials, binomials, and trinomials?
2. How can you determine the degree of a polynomial?
3. Why is a polynomial with more than three terms called a multinomial?
4. Can a constant term be considered a monomial? Why or why not?
5. How would you classify the polynomial \(3x^2y + 4xy - 7\)?

**Tip:** Always count the number of terms in a polynomial to classify it correctly. Terms are separated by addition (+) or subtraction (-) signs.

Classify the following polynomials as monomial, binomial, trinomial, or multinomial. Write your answers on a separate sheet of paper.

1. 5x²
2. 10
3. y − 1
4. 2x² − x + 3
5. 13z + 10
6. x³ + x² − x + 1
7. y²
8. −4
9. 2y² − 3y + 5
10. 3y³ + y²

Learn how to classify different types of polynomials such as monomials, binomials, trinomials, and multinomials. This exercise is perfect for students in Grades 6-8, focusing on key algebraic concepts.

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