Quantcast

Got Homework?

Connect with other students for help. It's a free community.

  • across
    MIT Grad Student
    Online now
  • laura*
    Helped 1,000 students
    Online now
  • Hero
    College Math Guru
    Online now

Here's the question you clicked on:

55 members online
  • 0 replying
  • 0 viewing

fari321 Group Title

One factor of 4x^3+15x^2-31x-30 is x-2. Find the other factors

  • one year ago
  • one year ago

  • This Question is Closed
  1. freewilly922 Group Title
    Best Response
    You've already chosen the best response.
    Medals 0

    You could use long division or synthetic division. Your choice.

    • one year ago
  2. fari321 Group Title
    Best Response
    You've already chosen the best response.
    Medals 0

    how

    • one year ago
  3. fari321 Group Title
    Best Response
    You've already chosen the best response.
    Medals 0

    with long division

    • one year ago
  4. freewilly922 Group Title
    Best Response
    You've already chosen the best response.
    Medals 0

    Well to start with you know that \[4x^2 \times (x-2) = 4x^3-8x^2\] so just like you would do long division with numbers you can also do it with variables like this. so \[ 4x^3-15x^2 -\bigg[4x^3-8x^2 \bigg]=-7x^2\] you drop the -31x like long division to get \[-7x^2 -31x\] and then divide this by (x-2) again \[-7x\times (x-2) = -7x^2 +14x\] and so on

    • one year ago
  5. freewilly922 Group Title
    Best Response
    You've already chosen the best response.
    Medals 0

    sorry the \[-15x^2 \] should be positive 15

    • one year ago
  6. freewilly922 Group Title
    Best Response
    You've already chosen the best response.
    Medals 0

    so \[4x^3+15x^2 -\bigg[4x^3-8x^2 \bigg]=23x^2\] \[23x\times (x-2) = 23x^2-46x\] \[23x^2-31x -\bigg[23x^2-46x\bigg]=+15x\] \[15\times(x-2)=15x-30\] \[+15x-30 -\bigg[15x-30 \bigg]=0\] so \[4x^3+15x^2-31x-30 \to (x-2)(4x^2+23x+15)\] and you can factor the rest... hopefully

    • one year ago
  7. freewilly922 Group Title
    Best Response
    You've already chosen the best response.
    Medals 0

    Explaining how to do long division or synthetic division is a real pain on open study, I would suggest you take the time outside of this to study it from a book with examples. Or go online and search for a youtube video. It isn't hard.

    • one year ago
  8. fari321 Group Title
    Best Response
    You've already chosen the best response.
    Medals 0

    thank you

    • one year ago
    • Attachments:

See more questions >>>

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.