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To solve question 1, we need to factor out the greatest common factor (GCF) from the expression \(5x^2 - 20x\).

### Step-by-Step Solution:

1. **Identify the common factors:**
   - The terms are \(5x^2\) and \(-20x\).
   - The greatest common factor between \(5x^2\) and \(-20x\) is \(5x\).

2. **Factor out \(5x\):**
   - Divide each term by \(5x\):
     \[
     5x^2 \div 5x = x \quad \text{and} \quad -20x \div 5x = -4
     \]
   - The expression can be rewritten as:
     \[
     5x(x - 4)
     \]

### Answer:
The correct option is **C) \(5x(x - 4)\)**.

Would you like more details or explanations on this problem? 

Here are 5 related questions for further practice:

1. What is the GCF of \(12x^3\) and \(18x^2\)?
2. How would you factor \(8x^3 - 12x^2\)?
3. Can you factor out the GCF from \(6y^4 - 9y^2\)?
4. What is the process of finding the GCF of multiple terms?
5. How would you factor the expression \(3x^2y - 6xy\)?

**Tip:** When factoring out the GCF, always check each term to ensure no further simplification can be made.

Factor out the greatest common factor for the expression 5x^2 - 20x.

Learn how to factor out the greatest common factor from the expression 5x^2 - 20x. This example covers algebraic factoring techniques, focusing on identifying the GCF and applying it to simplify expressions. Suitable for students in Grades 7-9.

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