Computation of minimal polynomial

Assignment Help Mathematics
Reference no: EM13830264

Problem:

Let α be the real number √(5 + √21)

1. Express α in the form b√x + c√y with b, c, x, y ε Q.

2. Calculate the minimal polynomial of α over Q.

Additional Information:

This question is basically from Mathematics as well as it is about computation of minimal polynomial.

Note: The solution is in handwritten format.

Reference no: EM13830264

Questions Cloud

Comparing your own experience with teams : Comparing your own experience with teams and project teams with those of your classmates and the literature on teams
Describe the ontario works social welfare program : The question is about Sociology and the question describe the Ontario Works Social Welfare Program. Ontario Works is a social welfare program started by the Ministry of Community and Social Services in the year 1997.
Problem on submartingale converging : Let (Xn) be a submartingale such that supn Xn
Explain the courtship process : The questions ranging from structural institutions, cohabitation, functionalism, sex, gender and sexuality, courtship process, importance of education in poor families and such other questions have been answered.
Computation of minimal polynomial : This question is basically from Mathematics as well as it is about computation of minimal polynomial.
Project scoring rubric : Explanation of any background information and/or further description of loan types selected
Computation of galios group isomorphic : Suppose L: K is a Galios extension whose Galios group G is isomorphic to the Klein four group. Assume that K does not have characteristic 2. Show that there exists x, y ε k such that every element of L can be expressed in the form a + b√x + c√y + ..
Calculation of extension of fields : Let L:K be a extension of fields s.t . [L:K] = 2. Show that if K does not have characteristic 2, then there exists θEL such that L = K(θ) and θ2EK.
Calculation of galios group extension : Prove that the order of the Galios group of the extension Q(e2iπ/17) is equal to 16.

Reviews

Write a Review

Mathematics Questions & Answers

  In how many hours will airplane b catch up to airplane a

airplane a takes off 60 minutes after airplane a and heads in the same direction. if airplane a travels with a constant velocity of 408 mph and airplane b with a constant velocity of 1554 mph, in how many hours will airplane b catch up to airplane..

  Assume that preferred stock is noncumulative and total

suppose a company had the following stock outstanding and retained earnings on december 31 2011.common stock par 7

  How much money should be invested in each to realize

Sue, a recent retiree, requires $6,000 per year in extra income. She has $50,000 to invest and can invest in B-rated bonds paying 15% per year or in a certificate of deposit (CD) paying 7% per year. How much money should be invested in each to rea..

  What is the probability that at least one inspector

What is the probability that at least one inspector will find a defective widget?

  Write a statement about the confidence level

Find a 95% confidence interval for the true mean annual income of the nursing school alumni. Write a statement about the confidence level and the interval you find.

  A strong linear relationship between the two variables

What is the range value of the ages of children in the skate park?

  Compute the standard deviation of costs

The annual demand for a certain item is N(300,22). Suppose the annual stock level is 300. If demand is less than 300, the annual holding cost of the leftover items is $65 per item. If the demand is greater than 300, then the loss of good will is $..

  What is the highest score possible

what's the highest score possible

  What is the probability that a cd player will break down

Sunshine Stereo sells cd players. The cd players life is normally distributed with a mean of 2.3 years and a standard deviation of 0.4 years. What is the probability that a cd player will break down during the guarantee period of 2 years?

  Find the mean - median and standard deviation

Find the mean, median, standard deviation, variance and range.(Use correct notation, you don't have to show work)

  Draw a tree diagram for recording first the race

In the language of government statistics, the "labor force" includes all civilians over 16 years of age who are working or looking for work. We select a member of the U. S. labor force at random, and let A be the event that the person selected is ..

  Characteristic polynomial of matrix

When we need to find eigenvalues and eigenvectors in algebra, we start by finding the characteristic polynomial of a matrix. In this problem, we will find the characteristic polynomial of a matrix, A.

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