A community for students.
Here's the question you clicked on:
 0 viewing
 2 years ago
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
 2 years ago
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

This Question is Closed

babydoll332
 2 years ago
Best ResponseYou've already chosen the best response.1f(x) = x4  3x3 + 8x2 + 13x + 40 correct

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

babydoll332
 2 years ago
Best ResponseYou've already chosen the best response.1can you kinda go back words with me work best that way please and thanks

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

satellite73
 2 years ago
Best ResponseYou've already chosen the best response.0ok lets start at the very beginning

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

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

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

babydoll332
 2 years ago
Best ResponseYou've already chosen the best response.1f(x) = x4  7x2  26x  40

satellite73
 2 years ago
Best ResponseYou've already chosen the best response.0you 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

satellite73
 2 years ago
Best ResponseYou've already chosen the best response.0yw, it looks like you did it on your own good job
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.