A community for students.
Here's the question you clicked on:
 0 viewing
anonymous
 4 years ago
let\[f(x)=x^4+2x^34x^2x+1\]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 : \(g(1)=9\)
anonymous
 4 years ago
let\[f(x)=x^4+2x^34x^2x+1\]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

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0i solved it with a painful method ... actually i've evaluated all of coefficients of g(x). but i lookin for a better method.

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0@eliassaab @experimentX @satellite73

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0You can find a, b ,c, d using a symbolic manipulator and you get \[ \begin{array}{c} a=3.14012 \\ b=0.571167 \\ c=0.437829 \\ d=1.27346 \end{array}\\ g(x)=x^6+4 x^53 x^413 x^33x^2+4 x+1\\ g(1)=9 \] This is probably the same way you did it. I will think about another method.
Ask your own question
Sign UpFind 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
 Engagement 19 Mad Hatter
 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.