Answers

2016-04-23T22:03:02+05:30
Zeroes of the polynomial are the roots of polynomial
there fore a-b,a,a+b are the roots
in the polynomial  x^{3}-3 x^{2} +2=0 
 S_{1}  x_{1} + x_{2} + x_{3} = -b/a =a-b+a+a+b = -(-3)/1 = 3 
3a=3
a=1
S_{2} =  x_{1}  x_{2} + x_{2}  x_{3} + x_{3}  x_{1} = c/a = a(a-b) + (a-b)(a+b) + a(a+b) = 0
 a^{2} -ab  +a^{2} +ab +a^{2} -  b^{2} = 0
3a^2 - b^2 = 0
b = \sqrt{3}
1- \sqrt{3} ,1,1+ \sqrt{3} are the zeroes of the given polynomial
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