A community for students.

Here's the question you clicked on:

55 members online
  • 0 replying
  • 0 viewing

anonymous

  • 5 years ago

How do you use the Factor Theorem to show that the second polynomial is a factor of the first polynomial? 2x^3 - 5x^2 + 6x - 2, x - 1/2

  • This Question is Closed
  1. amistre64
    • 5 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    divide it thru?

  2. amistre64
    • 5 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    if its got no remainder its a factor

  3. amistre64
    • 5 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    .5| 2 -5 6 -2 0 1 -2 2 ------------ 2 -4 4 0 <- remainder 0, its a factor

  4. amistre64
    • 5 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    cant really say that I know what a factor therom is tho ...

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

    factor theorem sez that if r is a zero of a polynomial \[p(x)\] then \[p(x)=(x-r)q(x)\]

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

    so if you know \[p(\frac{1}{2})=0\] then you know \[p(x)=(x-\frac{1}{2})q(x)\]

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

    if f(1/2) is equal to zero then x-1/2 is a factot

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

    more easily written as \[p(x)=( 2x-1)q(x)\]

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

    amistre as usual did all the work, so you even know what \[q(x)\] is

  10. amistre64
    • 5 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    :)

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

    it is \[2x^2-4x+4=2(x^2+2x+2)\]

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

    so your polynomial is \[p(x)=(2x-1)(x^2-2x+2)\]

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

    oops typo in other answer . it is -2x not +2x sorry

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

    115 to go and then i quit!

  15. amistre64
    • 5 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    \(\left(\begin{array}ca&b&c\\d&e&f\\g&h&i \end{array} \right)\)

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

    Thank you

  17. 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.