Find a polynomial of degree THREE with zeros 0 and i

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Discussion Overview

The discussion revolves around finding a polynomial of degree three with specified zeros, specifically 0 and i, as part of a broader set of algebra problems related to college-level mathematics. The scope includes polynomial properties, domain of functions, and systems of equations.

Discussion Character

  • Homework-related
  • Conceptual clarification

Main Points Raised

  • One participant asks for help in finding a polynomial of degree three with zeros at 0 and i.
  • Another participant questions the understanding of polynomial zeros and degree, suggesting a need for clarity on these concepts.
  • There is a mention of the importance of understanding definitions such as "domain," "slope," and "polynomial" for solving the problems presented.
  • A participant expresses confusion about the problems and indicates that they are reviewing for an exam.
  • Some participants emphasize the value of grasping foundational concepts rather than seeking direct answers to problems.

Areas of Agreement / Disagreement

Participants generally agree on the need for a solid understanding of mathematical definitions and concepts, but there is no consensus on how to approach the specific polynomial problem or the other questions posed.

Contextual Notes

Participants have not provided specific methods or solutions for constructing the polynomial, and there are unresolved questions regarding the definitions and applications of the terms involved in the problems.

Who May Find This Useful

Students preparing for college algebra exams or those seeking clarification on polynomial properties and foundational mathematical concepts.

lauren6568
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any know how to do these:

the domain of the function F(x)=1 over 1-x is...

find an equation of a line passing through (-4,-5) and perpendicular to the line 2x + y = -4

find a polynomial of degree THREE with zeros 0 and i

the system of equations x+3y-z=5
3x-y+z=-3
2x+y=1 how many solutions

[?] [?]
 
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What class is this for?

Question 1:
Find the domain of
[tex]f(x)=\frac{1}{1-x}[/tex]

The domain is the set of all [tex]x[/tex] so that [tex]f(x)[/tex] exists. (Hint: what is [tex]\frac{1}{0}[/tex]?)

Question 2:
You'll need to use slope (or something similar) to do this problem.

Question 3:
Do you know what the zeros of a polynomial are, or what the degree of a polynomial is?

Question 4:
Can you find any solutions to the system of equations?
 
its for college algebra...i'm doing my review for my exam and I have no clue how to do most of these problems
 
So what are your ideas on question 1?

Do you know what 'domain' means?
 
I have no clue how to do most of these problems

Do you mean that your textbook doesn't even define these terms? Does it have an index?

Most of the problems are just applications of the index. You can't find the domain of a function if you don't know (precisely) what "domain" means!

Look up "domain", "slope", "polynomial" in the index of your book and read the definitions.

I'm not being sarcastic here (well, I'm trying really hard not to be!). Most beginning math students don't understand how important it is to know the precise definitions, not just have a "general idea" what something is.
 
These are the foundation problems which is better to understand yourself than posting unless and until u have some problem grasping the concept
 

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