Quantcast

A community for students. Sign up today!

Here's the question you clicked on:

55 members online
  • 0 replying
  • 0 viewing

micahwood50

  • 2 years ago

Factor 3x⁴-17x³-12x²-62 x+20

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

    From my calculations, it's unfactorable. Is this a multiple choice answer?

  2. micahwood50
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    It's not multiply choice. It is factorable, but into two quadratics. Those cannot be factor. All I'm asking is how do you factor this?

  3. micahwood50
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    How do you factor 3x⁴-17x³-12x²-62 x+20 into two quadratics?

  4. micahwood50
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    Link would be helpful too.

  5. radh
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

    I get it. I know I have a video of this somewhere. One second.

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

    Factor theorem will surely work.

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

    find the factors of 20 first... can you tell me @micahwood50 ?

  8. micahwood50
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    I'm not sure how to do this, can you show me?

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

    what are the factors of 20?

  10. micahwood50
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    1, 2, 4, 5, 10, 20

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

    is -1 , -2 , -4,-5,-10, -20 also factors of 20 ?

  12. micahwood50
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    Yeah.

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

    so , now one by one put : \(\pm 1,\pm 2, \pm 4, \pm 5, \pm 10, \pm 20\) at the place of x in the given expression

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

    In which you get the answer as 0 ?

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

    3x⁴-17x³-12x²-62 x+20 for example : \(3(-1)^4 -17(-1)^3 -12(-1)^2 -62(-1)+20\) \(-3 +17 -12 + 62 + 20 \) \(84 \ne 0\) Do like this for each : \(\pm 1,\pm 2, \pm 4, \pm 5, \pm 10, \pm 20\)

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

    Can you do this @micahwood50 ?

  17. micahwood50
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    Umm, I tried all of them, none of them works.

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

    http://www.wolframalpha.com/input/?i=factor%283x%5E4-17x%5E3-12x%5E2-62x%2B20%29

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

    those are only the rational roots

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

    we want integral roots...

  21. micahwood50
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    You know what? Save your time and help someone else. I'm googling Factor theorem. Thanks, though.

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

    if the lowest terms with integer coefficients are quadratics, there aren't any.

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

    factors, not terms

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

    that wording was bad, but I think you know what I mean

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

    \(\large 3x^4-17x^3-12x^2-62x+20 =(3x^2+4x+10)(x^2-7x+2)\) "Link would be helpful too. " I read a post about factoring into quadratics. Here is a post in which someone tried to explain the method of factoring into quadratics, but I could not understand it. :( http://openstudy.com/users/dpainc#/updates/4fcfdafce4b0c6963adaf2bc

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

    I don't think that that would apply in this situation, unless you could see that x^2 -7x + 2 is a factor.

  27. 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.