Kunze Linear Algebra · Problem 4.2.7

Polynomials

Mathematics — Methods · basis-polynomials-linear

Problem

a

and

b

are elements of a field

F

and

a \neq 0

, show that the polynomials

1, ax + b, (ax+b)^2, (ax+b)^3, \ldots

form a basis of

F[x]