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The image shows a multiple-choice math question asking to select the best name for each algebraic expression listed. I will help break down the expressions and guide you on the naming conventions.

### 1. \( 3x^8 \)
This is a **monomial** because it consists of a single term.

### 2. \( 14x^7 + 18x^4 - 2x^3 + 9 \)
This is a **polynomial** with four terms, specifically a **quartic polynomial** because the highest degree is 7 (a polynomial of degree 7 is called **septic** or **degree-7 polynomial**).

### 3. \( 15x^4 - 2x^2 + 12 \)
This is a **trinomial** because it consists of three terms and has a highest degree of 4.

### 4. \( 9x^7 + 2 \)
This is a **binomial** since it has two terms and the highest degree is 7 (so it's also a **degree-7 binomial**).

### 5. \( 14x^4 + \frac{7}{x^3} - 18x^2 + 2 \)
This expression includes a negative power, so it is a **rational expression** rather than a polynomial.

Would you like more details on how these are categorized? Feel free to ask questions.

Here are 5 related questions to think about:
1. What is the difference between a polynomial and a rational expression?
2. Can you have a monomial with a negative exponent?
3. How do you classify polynomials based on their degree?
4. What makes an algebraic expression a binomial or trinomial?
5. How can you simplify rational expressions?

**Tip:** When naming algebraic expressions, always focus on the number of terms and the degree (highest exponent).

For each of the algebraic expressions below, select the BEST name from the list of choices.

Learn how to identify different types of algebraic expressions such as monomials, binomials, trinomials, and rational expressions. This exercise covers algebra concepts suited for Grades 8-10.

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