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pappoelarry

New member
Oct 21, 2021
3
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.
 

topsquark

Well-known member
MHB Math Helper
Aug 30, 2012
1,296
Multiply out f(x). What do you get?

-Dan
 

pappoelarry

New member
Oct 21, 2021
3

topsquark

Well-known member
MHB Math Helper
Aug 30, 2012
1,296
Can you multiply out polynomials? \(\displaystyle (x - 1)(x^2 + x + 1) = x(x^2 + x + 1) - (x^2 + x + 1) = x^3 + x^2 + x - x^2 - x - 1 = x^3 - 1\) for example.

-Dan
 

Country Boy

Well-known member
MHB Math Helper
Jan 30, 2018
881

Country Boy

Well-known member
MHB Math Helper
Jan 30, 2018
881