A community for students.

Here's the question you clicked on:

55 members online
  • 0 replying
  • 0 viewing

anonymous

  • one year ago

Okay, really struggling on this one :/ I just need hep finishing the problem. x-1/(5x^2 - 8x +3) times 4(5x - 3)/x-11

  • This Question is Closed
  1. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    @zepdrix Let me know if I'm annoying you at anytime!!

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

    @nincompoop please help, I'll fan & medal you (:

  3. zepdrix
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    you and your ways -_-

  4. zepdrix
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    What's going on? Factoring stuff and simplify again?

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

    Well, I'm just stuck here :/ I can't find a way to further factor it! I already factored a simplified some of it.

  6. zepdrix
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    Oh it's one of these types :O

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

    Uh-oh, that doesnt sound good ;(

  8. zepdrix
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    |dw:1440828539698:dw|Have you learned this goofy method before?

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

    Not at all!?

  10. zepdrix
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    Ehhh scratch that, let's do factor by GROUPING instead :) That's a better approach anyway.

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

    Ohh I know how to do that ;p But I thought you needed 4 terms?

  12. zepdrix
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    Hmm :d no. You start with 3 terms, and yes, you'll break them into 4 terms in order to do your grouping.

  13. zepdrix
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    So what you're doing is, splitting the middle term in some clever way so you can have nice groups.

  14. zepdrix
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    \[\large\rm 5x^2\color{orangered}{-8x}+3\]

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

    Okay, then I haven't done this before haha. Uhmm I really have no idea :/

  16. zepdrix
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    We'll multiply A and C, giving us 15. Factors of 15 that add to -8? Hmm

  17. zepdrix
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    15*1 = 15 15 + 1 = 16 Hmm those didn't work

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

    5 and 3

  19. zepdrix
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    5 * 3 = 15 5 + 3 = 8 Hmm it didn't give us -8 though D:

  20. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    ;( I have no clue how to get -8 from the factors of 15..

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

    Oh!!! Lol why do I always miss this?? -5 and -3! lol

  22. zepdrix
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    Ok good. So that's telling us that we want to rewrite -8x as -5x and -3x.

  23. zepdrix
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    \[\large\rm 5x^2\color{orangered}{-8x}+3\]\[\large\rm 5x^2\color{orangered}{-5x-3x}+3\]

  24. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    Ohh okay I remember this! And the groups are (5x^2 - 5x) and (-3x +3)

  25. zepdrix
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    And no, it doesn't matter which order you write them in. If you had written -3x -5x in that order, we would end up with the same result. So don't worry about that.

  26. zepdrix
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    Yes. And please please please try to get in the habit of putting a `plus sign` between the groups. Very annoying mistake that a lot of students make lol

  27. zepdrix
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    (5x^2-5x) + (-3x+3) k good :) now factor it out

  28. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    Oh, sorry! So I got 5(x^2 - x) + 3(-x +1)

  29. zepdrix
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    MOAR :O moar stuff

  30. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    What do you mean?

  31. zepdrix
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    \[\large\rm 5(\color{orangered}{x^2 - x}) + 3(-x +1)\]Well, there is more in this orange stuff. The two terms in orange still share something in common. Taking the 5 out was good, but there is moar.

  32. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    Oh! Okay so it's 5x(x-1) + 3(-x+1)

  33. zepdrix
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    Mmmm k good.\[\large\rm 5x(\color{orangered}{x-1}) + 3(\color{orangered}{-x +1})\]But how do we get these orange parts to match up? Hmm maybe we forgot to pull something out the second set of brackets?

  34. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    5x(x-1) + -3(x+1) lol (:

  35. zepdrix
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    \[\large\rm \left[5x\color{orangered}{(x-1)}-3\color{orangered}{(x-1)}\right]\]OK good :O We factored the two brackets completely. I artificially placed some square brackets. We now want to pull anything similar from both terms out of the square brackets.

  36. zepdrix
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    Hint Hint, I color-coded the thing we're pulling out :3

  37. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    Lol so we just get 5x-3 (:

  38. zepdrix
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    \[\large\rm \left[5x\color{orangered}{(x-1)}-3\color{orangered}{(x-1)}\right]\quad=\quad\color{orangered}{(x-1)}\left[5x-3\right]\]Well we can't forget about the factor we pulled out, ya? But yes, we end up with only 5x-3 in the square brackets.

  39. zepdrix
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    You don't have to use square brackets if you don't want :P That was just help explain the process. So our final result from factoring is:\[\large\rm 5x^2-8x+3\quad=\quad (x-1)(5x-3)\]

  40. zepdrix
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    Did the factoring from the square brackets step make sense? :o I know that one can be a little tricky.

  41. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    Ohhh my bad lol i just wasnt thinking, for some reason I thought the (x-1) just canceled out.. Lol so let me see if I can simplify now

  42. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    Yayyyy! I solved it (: I got 4/x-11 thank you bunches

  43. zepdrix
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    yay \c:/

  44. 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.