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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 \(7\).

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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.

What is the leading coefficient of the polynomial f(x) defined below?
f(x) = 7x + 3

Learn how to identify the leading coefficient in the polynomial f(x) = 7x + 3. Understand key concepts in polynomials and algebra, including identifying the term with the highest degree. Suitable for students in Grades 8-10.

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