Got Homework?
Connect with other students for help. It's a free community.
Here's the question you clicked on:
 0 viewing
babydoll332
Group Title
Write a polynomial function of minimum degree with real coefficients whose zeros include those listed. Write the polynomial in standard form.
4, 2, and 1 + 2i
 one year ago
 one year ago
babydoll332 Group Title
Write a polynomial function of minimum degree with real coefficients whose zeros include those listed. Write the polynomial in standard form. 4, 2, and 1 + 2i
 one year ago
 one year ago

This Question is Closed

babydoll332 Group TitleBest ResponseYou've already chosen the best response.1
f(x) = x4  3x3 + 8x2 + 13x + 40 correct
 one year ago

satellite73 Group TitleBest ResponseYou've already chosen the best response.0
start with \[(x4)(x+2)(x(1+2i))(x(12i))\] and multiply out but before we being the last product is very easy
 one year ago

babydoll332 Group TitleBest ResponseYou've already chosen the best response.1
can you kinda go back words with me work best that way please and thanks
 one year ago

satellite73 Group TitleBest ResponseYou've already chosen the best response.0
if the zeros are \(a+bi\) and \(abi\) the quadratic is \[x^22ax+(a^2+b^2)\] in your case it is \[x^2+2x+5\]
 one year ago

satellite73 Group TitleBest ResponseYou've already chosen the best response.0
ok lets start at the very beginning
 one year ago

satellite73 Group TitleBest ResponseYou've already chosen the best response.0
if \(1+2i\) is a zero, then so is its conjugate \(12i\)
 one year ago

satellite73 Group TitleBest ResponseYou've already chosen the best response.0
the quadratic equation that will have those two zeros is \[x^2+2x+5\] is it clear how i got that?
 one year ago

babydoll332 Group TitleBest ResponseYou've already chosen the best response.1
rightt i got that
 one year ago

satellite73 Group TitleBest ResponseYou've already chosen the best response.0
oh ok good then your final job is to multiply out \[(x4)(x+2)(x^2+2x+5)\]
 one year ago

babydoll332 Group TitleBest ResponseYou've already chosen the best response.1
f(x) = x4  7x2  26x  40
 one year ago

satellite73 Group TitleBest ResponseYou've already chosen the best response.0
you can do it in any order you like , but as you can see it is a bunch of algebra you have to do. yes, that is correct
 one year ago

babydoll332 Group TitleBest ResponseYou've already chosen the best response.1
thankkkksss
 one year ago

satellite73 Group TitleBest ResponseYou've already chosen the best response.0
yw, it looks like you did it on your own good job
 one year ago
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
 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.