A community for students.

Here's the question you clicked on:

55 members online
  • 0 replying
  • 0 viewing

anonymous

  • one year ago

Which of the following is a polynomial with roots 4, 6, and −7?

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

  2. taramgrant0543664
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    All you have to do is plug in each of the numbers for each equation if it equals zero it is a root

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

    If you want the solution, work this out: Do the multiplication. (x-4)(x-6)(x+7)

  4. taramgrant0543664
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    ^^ that way is a lot easier both ways work though

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

    multiply those three and thats the answer ?

  6. taramgrant0543664
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    If you expand it it will be your answer

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

    wow thank you so much

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

    Yes:|dw:1438394938481:dw|

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

    is it x^3-24x^2-46x+168

  10. taramgrant0543664
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    I got x^3+7x^2-56x+168

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

    The easiest way is to use the fact that the product of the three roots equals the negative of the constant term. So (4)(6)(-7)=-168. So look for the polynomial with -(-168)=168 as the constant term.

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

    As mathmate said, for a cubic equation \[ax^3+bx^2+cx+d\] having roots \[\alpha,\beta,\gamma\] Use the following relation to quickly find the correct polynomial \[\alpha \times \beta \times \gamma = -\frac{d}{a}\]

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

    When a=1, that is the coefficient of the cubic term, then it's simply equal to the negative of the constant term

  14. 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.