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p(x)= 3*3*3*3-5*3*3-11*3-3 = 81-45-33-3 = 0.
p(x)=3*-1*-1*-1-5*-1*-1-11*-1-3 = -3-5+11-3 = 0.
p(x)=3*-1/3*-1/3*-1/3-5*-1/3*-1/3-11*-1/3-3=-1/9-5/9+11/3-3 = 0.
hence verified that 3,-1,-1/3 are zeroes of polynomial.
to verify relationship between zeroes and coefficients of p(x)
sum of roots = -b/a
3-1-1/3=-(-5)/3
5/3=5/3
sum of product of roots taken 2at a time = c/a
3*-1+3*-1/3+(-1*-1/3)= -11/3
-3-1+1/3= -11/3
hence verified
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