## Discriminant of a polynomial

Discriminant - Wikipedia, the free encyclopedia
My questions are in the topic "Discriminant of a polynomial".
How to prove that the $discriminant$ of a polynomial $P(x)$ is equal to the $determinant$ of the (2n − 1)×(2n − 1) matrix.
And why the the $determinant$ of this (2n − 1)×(2n − 1) matrix is equal to the $resultant$ of $P(x)$ and $P'(x)$.

Please give me some hints or tell me where I can find the detail proofs.
Thank You!!!