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

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The discussion revolves around proving the equivalence of the functions f(x)=(x-1)(x^4+x^3+x^2+x+1) and g(x)=x^5-1. Participants emphasize the need to multiply out f(x) to determine if the two functions are equivalent. There is a suggestion to post the multiplication steps for clarity, indicating some confusion among participants about polynomial multiplication. The conversation also includes a light-hearted critique of the original poster's algebra skills, suggesting they should take a basic algebra course. Ultimately, the focus remains on the mathematical proof of equivalence through polynomial expansion.
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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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