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 factor this equation? x^3+6x^2+12x+8 = 0

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

    with a ten foot pole ?

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

    start by getting number that might work by factoring the last over the first 1,8,2,4 ------ makes life a little easier 1

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

    factor by grouping

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

    since all the terms are + already we know there are no positive solutions to be had so lets go with - tests

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

    lets try x = -2 -2 | 1 6 12 8 0 -2 -8 -8 ----------- 1 4 4 0 <- its a good one casue we got 0 i n the end

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

    x=-2 is a solution; (x+2) (x^2+4x+4) the quad factors quite nicely as well to get: (x+2)(x+2)(x+2) = (x+2)^3

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

    why did you use -2? not 2

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

    also how did you get (x+2)

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

    or: (x^3+6x^2)+(12x+8)=0 x^2(x+6)+4(3x+2)=0 (x^2+4)(x+6)(3x+2)=0 x=-6 x=-2/3 x^2=4 \[x=\sqrt{4} = \pm 2\] then plug check to see which one solution, I think x=-2 is solution

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

    Algebra I style : )

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

    thank you for your medal

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

    the rule for wigns tells me that if all are + then there are no poistive roots to be had; so I went with the negative versions of my gene pool

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

    rule for signs.... its like im having a stroke lol

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

    have to set factors equal to zero and solve...so much easier doing this stuff than my own...grrhhhh, lol!

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

    the way amis do is call long division,you can do that way too ,but is hard to explant

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

    x = sqrt(4) = 2 NOT +-2

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

    not long division; close tho; synthetic division ;)

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

    square= +-

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

    sqrt(4) = 2 2^2 = +- sqrt(4)

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

    got it lol i read it wrong

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

    yes ,almos close

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

    now the question asked to factor it; not find roots right?

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

    (x+2)^3 is the factored form then

  24. 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.