https://file.aiquickdraw.com/mathbot/file/17256437463545r3b7lcm.jpg

The image you've provided shows a sorting task where you need to match expressions with their factors.

### Given Information:
1. **Expressions**: 
   - \(10x\)
   - \(6(x + 8)\)

2. **Factors to Sort**:
   - \(x\)
   - \(10x\)
   - \(x + 8\)
   - \(6\)

### Sorting Explanation:
- **Factors of \(10x\)**:
  - **\(10x\)** is the product of **\(10\)** and **\(x\)**.
  - So, **\(x\)** and **\(10\)** are factors.

- **Factors of \(6(x + 8)\)**:
  - **\(6(x + 8)\)** can be expanded as **\(6 \times (x + 8)\)**.
  - So, **\(6\)** and **\(x + 8\)** are factors.

### Sorted Result:
- **Factors of \(10x\)**: \(x\), \(10x\)
- **Factors of \(6(x + 8)\)**: \(6\), \(x + 8\)

Would you like more details or have any questions about this sorting task? Here are some related questions you might find helpful:

1. What are the steps to factor a polynomial completely?
2. How do you determine if an expression is a factor of a given polynomial?
3. What is the difference between expanding and factoring expressions?
4. Can an expression have more than two factors?
5. How can factoring help solve quadratic equations?

**Tip:** Remember, factoring is the reverse of expanding; it’s about breaking down a product into simpler terms.

Sort the expressions based on their factors. You have the expressions 10x and 6(x + 8).

Learn how to sort algebraic expressions based on their factors. This problem focuses on identifying factors of 10x and 6(x + 8) using the distributive property and factoring rules. Ideal for students in Grades 6-8.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation