A community for students.
Here's the question you clicked on:
 0 viewing
anonymous
 one year ago
Three roots of a fifth degree polynomial function f(x) are –2, 2, and 4 + i. Which statement describes the number and nature of all roots for this function?
f(x) has two real roots and one imaginary root.
f(x) has three real roots.
f(x) has five real roots.
f(x) has three real roots and two imaginary roots.
anonymous
 one year ago
Three roots of a fifth degree polynomial function f(x) are –2, 2, and 4 + i. Which statement describes the number and nature of all roots for this function? f(x) has two real roots and one imaginary root. f(x) has three real roots. f(x) has five real roots. f(x) has three real roots and two imaginary roots.

This Question is Closed

campbell_st
 one year ago
Best ResponseYou've already chosen the best response.0well there are 2 imaginary roots, if you are given 4 + i the conjugate is also a root 4  i these roots come in pairs sometimes written \[x = 4 \pm i\] you are told 2 roots are real, 2, 2 a degree 5 polynomial has 5 roots.... so since imaginary roots come in pairs, the 5th root has to be real... hope that helps

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0So three real roots and two imaginary? Or would the all be considered "real"

campbell_st
 one year ago
Best ResponseYou've already chosen the best response.0your choice of 3 real 2 imaginary is the answer
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.