Quantcast

A community for students. Sign up today!

Here's the question you clicked on:

55 members online
  • 0 replying
  • 0 viewing

mukushla

  • 2 years ago

let\[f(x)=x^4+2x^3-4x^2-x+1\]the equation \(f(x)\) has 4 distinct real roots ; call them \(a,b,c,d\) suppose that \(g(x)\) is a degree 6 polynomial with roots \(ab,ac,ad,bc,bd,cd\). find the value of \(g(1)\). answer : \(g(1)=-9\)

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

    i solved it with a painful method ... actually i've evaluated all of coefficients of g(x). but i lookin for a better method.

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

    @eliassaab @experimentX @satellite73

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

    You can find a, b ,c, d using a symbolic manipulator and you get \[ \begin{array}{c} a=-3.14012 \\ b=-0.571167 \\ c=0.437829 \\ d=1.27346 \end{array}\\ g(x)=x^6+4 x^5-3 x^4-13 x^3-3x^2+4 x+1\\ g(1)=-9 \] This is probably the same way you did it. I will think about another method.

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

    *

  5. Not the answer you are looking for?
    Search for more explanations.

    • Attachments:

Ask your own question

Ask a Question
Find more explanations on OpenStudy

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.