Here's the question you clicked on:

55 members online
  • 0 replying
  • 0 viewing

mmbuckaroos

  • 4 years ago

Use the Factor Theorem to determine a polynomial equation, of lowest degree, that has only the indicated roots: 0 is a root of multiplicity 5, 2 is a double root

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

    x^5(x-2)^2=0

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

    ok i cant read. start with \[x^5(x-2)^2\] and multiply out

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

    so I would get \[x ^{5}+x ^{2}-4x+4\]

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

    no i don't think so

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

    \[x^5(x-2)^2=x^5(x-2)(x-2)=...\]

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

    where does the extra (x-2)^2 come from then that you have after the x^5?

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

    oh nvm.... so what am I multiplying out then? the (x-2)^2 or?

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

    \[x^5(x-)(x-2)=x^5(x^2-4x+4)=x^7-4x^6+4x^5\]

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

    Oh ok so I just needed to continue multiplying to completly get rid of the parenthisis cool thank you... so what if it is the same question but it says 1/3 is a double root and -2 is a double root? do I set it up like this: f(x)=(x-1/3)^2(x+2)^2

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

    Yes

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

    awesome thanks so much for the help!

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

    yw

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

    Uh so I actually have one more silly question how do I get rid of the fraction to make that problem easier?

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

    NVM I figured it out:) thanks

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

    i wouldn't

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

    oh looks like you got it right? start with \((3x-1)^2\)

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

    Thanks:)

  18. 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