Quantcast

A community for students.

Here's the question you clicked on:

55 members online
  • 0 replying
  • 0 viewing

ineedyouubiebs

  • 2 years ago

Factor the polynomial: 54k^2-24

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

    @jim_thompson5910 Help?

  2. jim_thompson5910
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    hint: 54k^2 - 24 6(9k^2 - 4)

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

    Where did you get the 9k^2 in the second line?

  4. jim_thompson5910
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    I factored out 6 from the expression

  5. jim_thompson5910
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    54k^2 - 24 6*9k^2 - 6*4 6(9k^2 - 4) .. using the distributive property

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

    @jim_thompson5910 oh okay I get it, but then there's no number that multipies to give -4 and adds to 9? thats where im stuck at

  7. jim_thompson5910
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    from here, you would use the difference of squares rule to factor

  8. jim_thompson5910
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    and 9k^2 - 4 is really 9k^2 + 0k - 4 so you need to find two numbers that multiply to 9*(-4) = -36 and add to 0, then you factor by grouping or you can use the difference of squares rule to factor

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

    the difference of squares rule?

  10. jim_thompson5910
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    difference of squares a^2 - b^2 = (a - b)(a+b)

  11. jim_thompson5910
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    ex: 25x^2 - 49 (5x)^2 - (7)^2 (5x - 7)(5x + 7) So 25x^2 - 49 factors to (5x - 7)(5x + 7)

  12. timo86m
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

    |dw:1376179696291:dw|

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

    im sorry im still confuse by this

  14. timo86m
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

    basically it has to do with common factors

  15. jim_thompson5910
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    did you see my factoring example with 25x^2 - 49

  16. jim_thompson5910
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    so use that to factor 9k^2 - 4

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

    Following your example so far I've got (3K)^2-(2)^2

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

    @jim_thompson5910

  19. jim_thompson5910
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    keep going

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

    I got (3x-2)(3x-2) ?? @jim_thompson5910

  21. jim_thompson5910
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    close, very close

  22. jim_thompson5910
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    but not quite

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

    where did i go wrong?

  24. jim_thompson5910
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    the difference of squares rule is a^2 - b^2 = (a - b)(a+b)

  25. jim_thompson5910
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    notice how it's minus, then plus (not two minuses)

  26. jim_thompson5910
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    it's NOT a^2 - b^2 = (a - b)(a-b)

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

    so then its (3x-2)(3x+2)

  28. jim_thompson5910
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    good

  29. jim_thompson5910
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    the final answer is 6(3k-2)(3k+2)

  30. 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.