Answer
polynomial, $n=4$.
$F(x)=5x^4-\pi x^3+\frac{1}{2}$, $5x^4$, $\frac{1}{2}$.
Work Step by Step
Step 1. Given $F(x)=5x^4-\pi x^3+\frac{1}{2}$, we can determine it is a polynomial function.
Step 2. We can identify the degree as $n=4$.
Step 3. In standard form $F(x)=5x^4-\pi x^3+\frac{1}{2}$, we can identify the leading term as $5x^4$ and the constant term as $\frac{1}{2}$.
