Quantcast

A community for students. Sign up today!

Here's the question you clicked on:

55 members online
  • 0 replying
  • 0 viewing

mmbuckaroos

  • 2 years ago

Determine all of the roots of 4x^3-4x^2-11x+6=0 if 2 is known to be one of the roots.

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

    Hint: If 2 is one of the roots, then (x-2) must be one of the factors. Use long division or synthetic division to find the other factors

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

    ok thanks

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

    so I get 4x^2+4x-3 with no remainder, do I break that down and take the factoprs and those become the roots?

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

    4x^2+4x - 3 4x^2+6x -2x - 3 2x(2x+3)-1(2x +3) (2x+3)(2x-1) Does that help?

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

    So now check by multiplying (x-2)(2x+3)(2x-1)

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

    ok so I set each of those equal to 0 to find the roots. Thanks!

  7. 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.