Thread: Polynomials

Please help me with this proof! Thank you!

Let F be a field. Let f(x), g(x) exist in F[x] be monic polynomials such that f(x)|g(x)
and deg g(x) is less than or equal to deg f(x). Prove that f(x) = g(x).

Originally Posted by mathgirl1188

Please help me with this proof! Thank you!

Let F be a field. Let f(x), g(x) exist in F[x] be monic polynomials such that f(x)|g(x)
and deg g(x) is less than or equal to deg f(x). Prove that f(x) = g(x).

(why?) , but we're given that

(why?), and comparing

superior coefficients in we solve the problem.

Tonio