verify that 3 -1 -1/3 are the zeros of the cubic polynomial p(x)=3x3-5x2-11x-3 , and they verify the relationship between the zeroes and the coefficient?
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p(3) = 3(3)^3 - 5(3)^2 -11(3)-3
81-45-33-3
81-81
0
p(-1) = 3(-1)^3 - 5(-1)^2 - 11(-1) -3
,-3-5+11-3
-11+11
0
p(-1/3) = 3(-1/3)^3 - 5(-1/3)^2-11(-1/3) -3
-1/9 -5/9+11/3-+
-6/9+ 33/9- 27/9
-33/9+33/9
0
hence proved
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