Answer
FALSE.
Work Step by Step
$Counterexample$: Consider if any one of the three parametric equations is a constant, such as f(t)=1. Now let f(t)=1, g(t)=t, and h(t)=t. The curve given by x=f(t), y=g(t), and z=h(t) is a line, but f is not a first degree polynomial; it is a zero degree polynomial because it is constant. There are many similar counterexamples (infinitely many). Therefore the statement is false.
