Polynomial Forms over Field form Integral Domain/Formulation 1

Theorem
Let $\struct {F, +, \circ}$ be a field whose zero is $0_F$ and whose unity is $1_F$.

Let $X$ be transcendental in $F$.

Let $F \sqbrk X$ be the ring of polynomial forms in $X$ over $F$.

Then $F \sqbrk X$ is an integral domain.