Solution Found!
Ife is any homomorphism of the type in 40.5, then Kere = (b(x))for some b(x) E F[x]
Chapter 40, Problem 40.6(choose chapter or problem)
QUESTION:
Ife is any homomorphism of the type in 40.5, then Kere = (b(x))for some b(x) E F[x], byTheorem 40.3. Determine such a polynomial b(x) for each of the following examples. (Suggestion:Use the Factor Theorem.) e: iQ[x] -+ iQ by e(f(x = f(O)
Questions & Answers
QUESTION:
Ife is any homomorphism of the type in 40.5, then Kere = (b(x))for some b(x) E F[x], byTheorem 40.3. Determine such a polynomial b(x) for each of the following examples. (Suggestion:Use the Factor Theorem.) e: iQ[x] -+ iQ by e(f(x = f(O)
ANSWER:Step 1 of 3
Factor Theorem: For if and only if is a factor of .