View the step-by-step solution to:

# Prove that if k is a eld and f (x), f (x) k [x] are relatively prime, then given b(x), b (x) k [x], there exisits c(x) k [x] with c b (f ) and c b (f...

Hello,

I'm trying to prove the Chinese Remainder Thm in k[x]. Please see the attachment for the full question.
Prove that if k is a ﬁeld and f ( x ) ,f 0 ( x ) k [ x ] are relatively prime, then given b ( x ) ,b 0 ( x ) k [ x ], there exisits c ( x ) k [ x ] with c - b ( f ) and c - b 0 ( f 0 ) and if d(x) is another common solution, then c - d ( ff 0 ) 1

Chinese Remainder Theorem
This theorem was first used by Chinese Mathematician Sun Tzu in third
says that suppose there are...

### Why Join Course Hero?

Course Hero has all the homework and study help you need to succeed! We’ve got course-specific notes, study guides, and practice tests along with expert tutors.

### -

Educational Resources
• ### -

Study Documents

Find the best study resources around, tagged to your specific courses. Share your own to gain free Course Hero access.

Browse Documents