Purchase Solution

Irreducible over the rationals.

Not what you're looking for?

Ask Custom Question

If P is a prime number, prove that the polynomial x^n - p is irreducible over the rationals.

Purchase this Solution

Solution Summary

It is the explanation for the following problem:

If P is a prime number, prove that the polynomial x^n - p is irreducible over the rationals.
The solution is given in detail.

Solution Preview

See the attached file for the solution of the problem.

Modern Algebra
Ring Theory (XXXIV)
Polynomials over the Rational Field
Euclidean Ring
...

Solution provided by:
Education
  • BSc, Manipur University
  • MSc, Kanpur University
Recent Feedback
  • "Thanks this really helped."
  • "Sorry for the delay, I was unable to be online during the holiday. The post is very helpful."
  • "Very nice thank you"
  • "Thank you a million!!! Would happen to understand any of the other tensor problems i have posted???"
  • "You are awesome. Thank you"
Purchase this Solution


Free BrainMass Quizzes
Know Your Linear Equations

Each question is a choice-summary multiple choice question that will present you with a linear equation and then make 4 statements about that equation. You must determine which of the 4 statements are true (if any) in regards to the equation.

Graphs and Functions

This quiz helps you easily identify a function and test your understanding of ranges, domains , function inverses and transformations.

Solving quadratic inequalities

This quiz test you on how well you are familiar with solving quadratic inequalities.

Probability Quiz

Some questions on probability

Geometry - Real Life Application Problems

Understanding of how geometry applies to in real-world contexts