How many elements are there in this field

Assignment Help Algebra
Reference no: EM131027851

Prove that Z5/(x2 + x + 1) is a field. How many elements are there in this field? Can you also represent it as Z5[x]/(x2-a) where a is some element of Z5?

Reference no: EM131027851

Questions Cloud

Find the probability distributions for x and y : Persons entering a blood bank are such that 1 in 3 have type O+ blood and 1 in 15 have type O- blood. Consider three randomly selected donors for the blood bank. Let X denote the number of donors with type O+ blood and Y denote the number with typ..
How have changes in print ad portrayal of females : Research Question: How have changes in print ad portrayal of females over the last 15 years affected gender socialization
Find probability that auditor detect more than one error : In order to verify the accuracy of their financial accounts, companies use auditors on a regular basis to verify accounting entries. The company's employees make erroneous entries 5% of the time. Suppose that an auditor randomly checks three entri..
Find probability distribution for number of cells : A single cell can either die, with probability .1, or split into two cells, with probability .9, producing a new generation of cells. Each cell in the new generation dies or splits into two cells independently with the same probabilities as the in..
How many elements are there in this field : Prove that Z5/(x2 + x + 1) is a field. How many elements are there in this field? Can you also represent it as Z5[x]/(x2-a) where a is some element of Z5?
Pros and cons of how sociological research has been applied : Start a thoughtful dialogue about the pros and cons of how sociological research has been applied in these examples. What are the ramifications/consequences/implications of how this research has been applied
Find probability distribution for sum of two sampled numbers : Five balls, numbered 1, 2, 3, 4, and 5, are placed in an urn. Two balls are randomly selected from the five, and their numbers noted. Find the probability distribution for the largest of the two sampled numbers.
What happen to a bonds price if moodys changes bond rating : Everything else being equal, what would happen to a bond's price if Moody's changes this bond rating from Baa to A? Explain.
Maximum value of cost cij in the network : (a) The most vital arc is an arc with the maximum value of cost cij in the network (b) The most vital arc is an arc with the maximum value of cij on some shortest path from node s to node t

Reviews

Write a Review

Algebra Questions & Answers

  Which year had the greatest number of stray cats

Which year had the greatest number of stray cats? Between which two years did the greatest increase in the number of stray cats occur?

  Would like to have materials in algebra

Would like to have materials in Algebra 1 . something that will pertain to our 2015-2016 teks

  Company must produce 1000 pounds of the drug

The cost per pound of each chemical and amount of each active ingredient in 1 pound of each chemical are given above. It is necessary that at least 100 pound of chemical 2 be used

  Find a linear function that fits the data

In 1990 the life expectancy of males in a certain country was 61.2 years. In 1996 it was 64.3 years. Let E represent the life expectancy in year t and let + represent the number of years since 1990.

  In research from work on alzheimer''s disease and the prion

In research from work on Alzheimer's disease and the prion diseases such as mad cow disease, the formation of disease causing fibrils in the brain is believed to result from A. covalent crosslinking between fibrous proteins

  Multiply and solve the expression

Multiply and solve the expression

  Compute the dimension of the linear subspace spanned by set

In each case, determine whether or not the given set is linearly independent and compute the dimension of the linear subspace spanned by the set.

  How much will be repaid at the end of 13 years

Another family in the Federal Reserve study group borrowed $120,000. The loan is to be repaid in 13 years at 12% interest, compounded annually. How much will be repaid at the end of 13 years?

  Find the average cost per animal for ten animals

Find the average cost per animal for 10 animals, 100 animals, and 1,000 animals. As the number of animals tested increases, what happens to the average cost to test the animals? How do you know this?

  Discuss and compare estimates

Discuss ways to estimate the number of radio stations on the air in 1975. Compare your estimates with the actual value of 7700 stations. Repeat this estimate for the 1985 and compare it to the actual value of 10,400. Discuss your results.

  Determining exponential growth function

Randy invested his inheritance in an account that paid 6.1% interest, compounded continuously. After 5 years, he found that he now had $51,426.94. What was the original amount of his inheritance?

  What is the formula for the volume of a rectangular solid

Please see the following example. Do not use any version of this example in your own post. You may use other variables besides x and y, such as x and W depicted in the following example. Be sure to reference all sources using APA style.

Free Assignment Quote

Assured A++ Grade

Get guaranteed satisfaction & time on delivery in every assignment order you paid with us! We ensure premium quality solution document along with free turntin report!

All rights reserved! Copyrights ©2019-2020 ExpertsMind IT Educational Pvt Ltd