16.-Linear-Algebra-by-Kenneth-Hoffman · Problem 4.2.7

Polynomials

Mathematics — Linear Algebra · basis-polynomial-algebra

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]