Here's the question you clicked on:

55 members online
  • 0 replying
  • 0 viewing

wowbriana

  • 4 years ago

how do i simplify 4x^2-7x+3 divided by x^2+5x-6?

  • This Question is Closed
  1. ash2326
    • 4 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    we have \[\frac{4x^2-7x+3}{x^2-5x+6}\] let's divide (x^2-5x+6)*4=4x^2-20x+24 rewriting the numerator as 4x^2-7x+6=(4x^2-20x+24)+13x-18 so we have now \[\frac{(4x^2-20x+24)+13x-18 }{x^2-5x+6}\] if we simplify we get \[4+\frac{13x-18 }{x^2-5x+6}\]

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

    is there more simplifying? because thats not one of my options

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

    i wrote the question wrong, the denomenator is supposed to be x^2+5x-6

  4. ash2326
    • 4 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    then 4(x^2+5x-6)=4x^2+20x-24 so 4x^2-7x+3=(4x^2+20x-24)-27x+27 so we get \[4+\frac{-27x+27}{x^2+5x-6}\]

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

    these are my options

    1 Attachment
  6. rivermaker
    • 4 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

    \[x^2 + 5x - 6 = (x-1)(x+6)\] \[4x^2-7x+3 = 4x^2-4x-3x+3=4x(x-1)-3(x-1)=(4x-3)(x-1)\] So cancelling (x-1) you can see the answer

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

    which answer is it?

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

    \[\frac{4x-3}{x+6}\]

  9. 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