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Let's find the value of the expression \( 2x^2 - 5x + 6 \) when \( x = -2 \).

### Step-by-step process:
1. Start with the expression \( 2x^2 - 5x + 6 \).
2. Substitute \( x = -2 \) into the expression:
   \[
   2(-2)^2 - 5(-2) + 6
   \]
3. Evaluate each term:
   - \( (-2)^2 = 4 \), so \( 2 \times 4 = 8 \).
   - \( -5(-2) = 10 \).
   - The constant term is \( 6 \).
   
4. Now sum all the terms:
   \[
   8 + 10 + 6 = 24
   \]

Thus, the value of the expression is **24**, corresponding to option 2.

Do you want further details or have any questions?

### Related questions:
1. How do you evaluate expressions with negative values for variables?
2. Can you explain why \( (-2)^2 = 4 \) and not \( -4 \)?
3. What are the steps to solve quadratic expressions?
4. How would the expression change if the coefficient of \( x^2 \) was negative?
5. How can you check if the answer is correct using a calculator?

### Tip:
Always remember to handle negative signs carefully when substituting values into an expression, especially when dealing with exponents.

Find the value of the expression 2x^2 - 5x + 6 when x = -2.

Learn how to evaluate the expression 2x^2 - 5x + 6 when x = -2 with a detailed step-by-step solution. This algebra problem involves quadratic expressions, substitution, and order of operations, making it suitable for students in Grades 7-9.

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