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

  • Thread starter Thread starter pappoelarry
  • Start date Start date
  • Tags Tags
    Equivalence
AI Thread Summary
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.
pappoelarry
Messages
3
Reaction score
0
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.
 
Mathematics news on Phys.org
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!
 
Thread 'Video on imaginary numbers and some queries'
Hi, I was watching the following video. I found some points confusing. Could you please help me to understand the gaps? Thanks, in advance! Question 1: Around 4:22, the video says the following. So for those mathematicians, negative numbers didn't exist. You could subtract, that is find the difference between two positive quantities, but you couldn't have a negative answer or negative coefficients. Mathematicians were so averse to negative numbers that there was no single quadratic...
Insights auto threads is broken atm, so I'm manually creating these for new Insight articles. In Dirac’s Principles of Quantum Mechanics published in 1930 he introduced a “convenient notation” he referred to as a “delta function” which he treated as a continuum analog to the discrete Kronecker delta. The Kronecker delta is simply the indexed components of the identity operator in matrix algebra Source: https://www.physicsforums.com/insights/what-exactly-is-diracs-delta-function/ by...
Thread 'Unit Circle Double Angle Derivations'
Here I made a terrible mistake of assuming this to be an equilateral triangle and set 2sinx=1 => x=pi/6. Although this did derive the double angle formulas it also led into a terrible mess trying to find all the combinations of sides. I must have been tired and just assumed 6x=180 and 2sinx=1. By that time, I was so mindset that I nearly scolded a person for even saying 90-x. I wonder if this is a case of biased observation that seeks to dis credit me like Jesus of Nazareth since in reality...

Similar threads

Back
Top