The expression given is:

\[
\frac{7}{6}x + \frac{3}{4}x^2
\]

This expression is already in its simplest form, combining a linear term \(\frac{7}{6}x\) and a quadratic term \(\frac{3}{4}x^2\).

Would you like to factor this expression, find its derivative, or explore it further in some other way?

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Here are 5 related questions:

1. What is the derivative of the expression \(\frac{7}{6}x + \frac{3}{4}x^2\) with respect to \(x\)?
2. How would you find the roots of the equation \(\frac{7}{6}x + \frac{3}{4}x^2 = 0\)?
3. What happens to the expression if \(x = 0\)?
4. How would you graph the function \(f(x) = \frac{7}{6}x + \frac{3}{4}x^2\)?
5. How does the expression change if you multiply the entire expression by a constant?

**Tip:** When combining terms in algebraic expressions, always pay attention to the degree of each term (linear, quadratic, etc.) to determine if they can be combined.

Learn how to simplify and explore the expression 7/6x + 3/4x^2. This problem covers combining linear and quadratic terms, understanding algebraic expressions, and exploring derivative and graphing concepts. Suitable for students in Grades 7-9.

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