What is the leading term of the polynomial f, of, xf(x) defined below?f, of, x, equals, x, cubed, plus, 2, x, squaredf(x)=x 3 +2x 2

1. Break Down the Problem

We need to identify the leading term of the polynomial $f(x) = x^3 + 2x^2$. The leading term is the term with the highest degree.

2. Relevant Concepts

In a polynomial of the form $ax^n + bx^{n-1} + \ldots + k$, the leading term is $ax^n$, where $n$ is the highest exponent.

3. Analysis and Detail

The polynomial $f(x) = x^3 + 2x^2$ has two terms:

• $x^3$ (degree 3)
• $2x^2$ (degree 2)

Among these, $x^3$ has the highest degree.

4. Verify and Summarize

Thus, the leading term of the polynomial $f(x)$ is confirmed to be $x^3$, as it is the term with the highest exponent.

Final Answer

The leading term of the polynomial $f(x)$ is $x^3$.