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

toadytica305

List all the real and imaginary zeros of f(x) = x^3+x^2+ 13x - 15... 1 is a zero of the function

  • one year ago
  • one year ago

  • This Question is Closed
  1. satellite73
    Best Response
    You've already chosen the best response.
    Medals 0

    all possible rational roost are number of the form \(\frac{p}{q}\) where \(p\) divides the constant ( in your case 15) and \(q\) divides the leading coefficient, in your case 1

    • one year ago
  2. satellite73
    Best Response
    You've already chosen the best response.
    Medals 0

    so the possibilites are \[\pm1,\pm3,\pm5,\pm15\]

    • one year ago
  3. satellite73
    Best Response
    You've already chosen the best response.
    Medals 0

    since you know 1 is a zero, you can factor it as \[(x-1)(\text{something})\] and you can find the something by dividing, by synthetic division or by thinking

    • one year ago
  4. toadytica305
    Best Response
    You've already chosen the best response.
    Medals 0

    and to find all real and imaginary zeros

    • one year ago
  5. satellite73
    Best Response
    You've already chosen the best response.
    Medals 0

    in this case you get \[(x-1) (x^2+2 x+15)\] and the second part you can find the zeros using the quadratic formula they are complex

    • 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.