I have a math homework problem that goes like this:
Determine if the given set is a subspace of $\mathbb{P}_n$ for the appropriate value of $n$:
All polynomials of the form $p(t) = a + t^2$, where $a$ is in $\mathbb{R}$
I don't really understand what the problem means by "All polynomials of the form ...". Does that mean that if I could multiply $t^2$ and $a$ by any constants and get a "polynomial of the form"?