https://file.aiquickdraw.com/mathbot/file/17257117955150mpgzuff.jpg

The expression shown in the image is:

\[
\frac{1}{2}x^3 - \frac{x^2}{3} + \frac{1}{6} = ?
\]

To find the coefficient of \(x^2\), let's focus on the terms involving \(x^2\).

### Step-by-Step Simplification:
1. The term involving \(x^2\) is \(- \frac{x^2}{3}\).
   
Thus, the coefficient of \(x^2\) is \(- \frac{1}{3}\).

The final answer is \(- \frac{1}{3}\).

Would you like more details on how to approach such problems? Here are five related questions you could explore:

1. How do you identify the degree of a polynomial term?
2. What is the importance of coefficients in polynomials?
3. How do you simplify expressions with multiple terms?
4. What does it mean for a polynomial to be in standard form?
5. How do you factor polynomials involving multiple variables?

**Tip:** Always group terms with the same degree of the variable to simplify polynomial expressions efficiently.

When the expression 1/2 x^3 - x^2/3 + 1/6 is simplified, what is the coefficient of x^2?

Learn how to simplify the algebraic expression 1/2 x^3 - x^2/3 + 1/6 and find the coefficient of x^2. This step-by-step guide focuses on polynomial simplification and extracting the coefficient of the given term. Suitable for students in Grades 8-10.

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