Proving Equivalence of f(x) and g(x)

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Discussion Overview

The discussion centers around the equivalence of two polynomial functions, f(x) and g(x), specifically whether f(x)=(x-1)(x^4+x^3+x^2+x+1) is equivalent to g(x)=x^5-1. Participants explore the process of expanding f(x) to determine equivalence.

Discussion Character

  • Exploratory, Technical explanation, Debate/contested, Homework-related

Main Points Raised

  • One participant asks for the result of multiplying out f(x), indicating a desire for clarity on the expansion process.
  • Another participant provides an example of polynomial multiplication, suggesting a method for expanding f(x).
  • Several participants express frustration or confusion, repeatedly requesting steps and answers for the multiplication.
  • Some responses imply that the original poster may lack foundational algebra skills necessary for the problem.

Areas of Agreement / Disagreement

There is no consensus on the equivalence of f(x) and g(x) as the discussion primarily focuses on the process of multiplication rather than reaching a conclusion about their equivalence.

Contextual Notes

Participants do not provide specific steps for expanding f(x), and there is a lack of clarity on the assumptions or definitions being used in the discussion.

pappoelarry
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Consider the two functions f(x)=(x-1)(x4+x³+x²+x+1) and g(x)=x5-1. If they are equivalent, prove they are; if they are not equivalent, prove they aren't.
 
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Multiply out f(x). What do you get?

-Dan
 
topsquark said:
Multiply out f(x). What do you get?

-Dan
huh
post the steps and ans. plss
 
Can you multiply out polynomials? [math](x - 1)(x^2 + x + 1) = x(x^2 + x + 1) - (x^2 + x + 1) = x^3 + x^2 + x - x^2 - x - 1 = x^3 - 1[/math] for example.

-Dan
 
pappoelarry said:
huh
post the steps and ans. plss
Step one: take an Algebra Course!

(Where did you get this problem?)
 
pappoelarry said:
huh
post the steps and ans. plss
First step- take an eighth or nineth grade (13 or 14 year old) algebra class!
 

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