Logo
Home Study Material Contact Search
AI Chat FREE
  1. mathematics
  2. advance math
  3. let ? ? c be a zero of the polynomial t^3 ? 4t + 2

let ? ? C be a zero of the polynomial t^3 ? 4t + 2...

80.2K

Verified Solution

Question

Advance Math

let ? ? C be a zero of the polynomial t^3 ? 4t + 2 = 0 and let R= {a1 + b? + c?^2 : a,b,c ? Z}. Show that R is a integral domainand

Show that ? ? 1 and 2? ? 1 are units in R. [Hint: what if x = t+ 1?

Answer & Explanation Solved by verified expert
4.4 Ratings (722 Votes)
Integral domain    See Answer
Get Answers to Unlimited Questions

Join us to gain access to millions of questions and expert answers. Enjoy exclusive benefits tailored just for you!

Membership Benefits:
  • Unlimited Question Access with detailed Answers
  • Zin AI - 3 Million Words
  • 10 Dall-E 3 Images
  • 20 Plot Generations
  • Conversation with Dialogue Memory
  • No Ads, Ever!
  • Access to Our Best AI Platform: Flex AI - Your personal assistant for all your inquiries!
Become a Member

Other questions asked by students

Biology
1.2K views

What three forms of RNA are found in both prokaryotes and eukaryotes? Why are these three...

Programming
1.2K views

Compare Hyper-V to virtualization offerings from Amazon, VMware, and Citrix, and others What are some of the...

Electrical Engineering
1.2K views

The following logic function is given as a sum of minterms F(W,X,Y,Z) = ∑W,X,Y,Z(7,8,10,11,13) + D(5,...

Physics
1.2K views

The value of Y 3 C V 759 5 3 7 577 for hydrogen helium...

Basic Math
1.2K views

Find the nth term of the arithmetic sequence with given first term a and common...

Basic Math
1.2K views

A supermarket finds that the number of boxes of a new cereal sold increases each...

Algebra
1.2K views

Complete the following simplification.6 cis(47,000)/cis(47,000)= 6 cis_____

Algebra
1.2K views

Interest is compounded semianually Find the amount in the account after the given time Principal...

Accounting
1.2K views

Apollo Shoes Case: Similar to what you did with the Revenue Cycle, I want you...

Accounting
1.2K views

On August 1, Year 1, Best Company sold Mac Company $1,500,000 of 8-year, 6% bonds,...

Accounting
1.2K views

You and your spouse have inherited $350,000 and are making some decisions on how to...

Finance
1.2K views

1. Sneed Corporation issues 14,900 shares of $55 par preferred stock for cash at $70...