Here's the question you clicked on:

55 members online
  • 0 replying
  • 0 viewing

mmbuckaroos

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

    ok thanks

  3. mmbuckaroos
    • 4 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
    • 4 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
    • 4 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
    • 4 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

Sign Up
Find more explanations on OpenStudy
Privacy Policy