A community for students.

Here's the question you clicked on:

55 members online
  • 0 replying
  • 0 viewing

anonymous

  • one year ago

one of the zeros of the function f(x)=x^4+2x^3-13x^2-38x-24 is x=-3, find the other zeros of the function

  • This Question is Open
  1. IrishBoy123
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    obvious approach long divide \(x^4+2x^3-13x^2-38x-24\) by \(x+3\)

    1 Attachment
  2. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    @IrishBoy123 could you use synthetic division?

  3. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    idgi

  4. IrishBoy123
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    of course, you can do anything you like i am starting to think that this looks like it needs the Rational Root Theorem, despite the bad clues that were left lying around In which case, i summon the master: @welshfella

  5. welshfella
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    +/- 1 , +/- 2 +/- 4 are some of the possible roots

  6. welshfella
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    f!1) = not = 0 f(-1) = 0 so -1 is one root

  7. welshfella
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    you could now divide the function by (x + 3)( x + 1) to get another quadratic which you can solve

  8. welshfella
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    or compute f(2) f(-2,) f(4), f(-4)

  9. welshfella
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    the first option would probably be the quickest

  10. welshfella
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    use synthetic division

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

    • Attachments:

Ask your own question

Sign Up
Find more explanations on OpenStudy
Privacy Policy

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.