1. **State the problem:** We are given the polynomial expression $$\frac{1}{6} + 3x$$ and need to identify its type, number of terms, constant term, leading term, and leading coefficient. 2. **Identify the polynomial type and terms:** A polynomial is an expression consisting of variables and coefficients combined using addition, subtraction, and multiplication by non-negative integer powers of variables. 3. **Count the terms:** The expression has two terms: $$\frac{1}{6}$$ and $$3x$$. 4. **Identify the constant term:** The constant term is the term without any variable, which is $$\frac{1}{6}$$. 5. **Identify the leading term:** The leading term is the term with the highest power of the variable. Here, $$3x$$ is the leading term because $$x$$ is to the first power. 6. **Identify the leading coefficient:** The leading coefficient is the coefficient of the leading term, which is $$3$$. 7. **Summary:** - The expression is a polynomial with 2 terms. - The constant term is $$\frac{1}{6}$$. - The leading term is $$3x$$. - The leading coefficient is $$3$$.