Extension field obtained from polynomial

Question

So, I stumbled upon this phrase in a book about cryptography: "Another equivalent means of defining $t(x)$ as a primitive polynomial is to say that its roots generate the group of nonzero elements of the associated extension field obtained from the polynomial $t(x)$ of degree $l$" What does "obtained from the polynomial" mean?

Thanks in advance

Answer 1

It probably means the splitting field of $t$.