The given polynomial is:

$f(x) = 7x + 3$

The leading coefficient of a polynomial is the coefficient of the term with the highest degree. In this case, the term with the highest degree is $7x$, where the degree of $x$ is 1. Therefore, the leading coefficient is $7$.

Would you like further details or have any other questions?

Here are 5 related questions you might find interesting:

1. What is the degree of the polynomial $f(x) = 7x + 3$?
2. How do you identify the leading term in a polynomial with multiple terms?
3. What is the difference between the leading coefficient and the constant term?
4. Can you have a negative leading coefficient, and how does that affect the graph of the function?
5. How would the leading coefficient change if we had $f(x) = 7x^2 + 3x + 1$?

Tip: The leading coefficient often dictates the direction of the graph of a polynomial. For example, a positive leading coefficient typically causes the graph to open upwards for quadratic functions.