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To find the Greatest Common Factor (GCF) of the expression \(-10x^2 + 15x - 5\), we need to determine the largest factor that divides each term in the expression.

### Steps:
1. **Identify the factors of each term:**
   - \(-10x^2\): The factors are \(-1\), \(10\), and \(x^2\).
   - \(15x\): The factors are \(15\) and \(x\).
   - \(-5\): The factors are \(-1\) and \(5\).

2. **Find the GCF of the numerical coefficients:** 
   - The coefficients are \(-10\), \(15\), and \(-5\).
   - The GCF of these numbers is \(5\).

3. **Determine any common variable factors:** 
   - Since only the first two terms contain \(x\), there is no \(x\) that all terms share.

Therefore, the **GCF of the expression \(-10x^2 + 15x - 5\) is \(5\)**.

Would you like further details or have any questions?

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### Related Questions:
1. How do you determine the GCF of a polynomial with more than three terms?
2. What is the GCF of \(4x^3 - 8x^2 + 12x\)?
3. Can the GCF be a variable term if all terms in the expression include it?
4. How does factoring out the GCF help in simplifying polynomials?
5. Why is the GCF sometimes negative in polynomials?

### Tip:
When finding the GCF of polynomial terms, always check both the numerical and variable factors carefully.

Discover how to find the Greatest Common Factor (GCF) of the polynomial -10x^2 + 15x - 5. This step-by-step solution explores factoring concepts and explains how to determine the GCF of polynomial terms, perfect for students in Grades 8-10.

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