Determine whether F(x)=5x4−πx3+12 is a polynomial. If it is, state its degree. If not, say...

Step 1
Given function is,
$F(x)=5x^4-\pi x^3+\frac{1}{2}$
The objective is to determine whether F(x) is a polynomial or not. If yes then state its degree, if not then given the reason why it is not a polynomial.
Step 2
Yes, F(x) is a polynomial of degree 4 with leading coefficient 5 and constant term $\frac{1}{2}$.
Standard form: $F(x)=5x^4-\pi x^3+0x^2+0x+\frac{1}{2}$