Question

at most n root exist for a polynomial of _​

Answer 1

Step-by-step explanation:

Since the Vandermonde matrix is invertible for distinct αi, it follows that x=[0,0,…,0]. Thus if aj≠0 for some j, then your polynomial can have at most n different roots. Note: This is basically saying that given a field K, any polynomial of degree n in K[x] has at most n distinct roots.