SOLUTION: if alpha beta and gama are the root of the equation x^3-px+q =0then prove that alpha+beta+gama=0

Since polynomial equations of the same degree with leading 
coefficient 1 (known as "monic" polynomial equations) and with 
the same roots and their multiplicities are unique, we create the 
cubic polynomial with leading coefficient 1, which will be the same
as 

, , 
 
, , 
 

 
 

 


 

 








This is the same polynomial equation as



which is the same as



Equating coefficients of x²,





Edwin