Quantcast

A community for students. Sign up today!

Here's the question you clicked on:

55 members online
  • 0 replying
  • 0 viewing

mskyeg

  • 2 years ago

A cubic polynomial with rational coefficients has the roots 6 + square root 6 and 2/3. Find one additional root.

  • This Question is Closed
  1. mskyeg
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    Possible answers

  2. freewilly922
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    Since it has rational coefficients, that means that when you multiply the product of the three roots \[(a)(x-(6+\sqrt{6}))(x-2/3)\] you somehow avoid having an irrational coefficient (something with a square root). So the big question is What times (x-(6+sqrt(6))) will avoid this issue. I believe there is a parallel problem with complex numbers and they multiply by the complex conjugate. I suspect something similar here.

  3. Not the answer you are looking for?
    Search for more explanations.

    • Attachments:

Ask your own question

Ask a Question
Find more explanations on OpenStudy

Your question is ready. Sign up for free to start getting answers.

spraguer (Moderator)
5 → View Detailed Profile

is replying to Can someone tell me what button the professor is hitting...

23

  • Teamwork 19 Teammate
  • Problem Solving 19 Hero
  • You have blocked this person.
  • ✔ You're a fan Checking fan status...

Thanks for being so helpful in mathematics. If you are getting quality help, make sure you spread the word about OpenStudy.

This is the testimonial you wrote.
You haven't written a testimonial for Owlfred.