Given the zeroes of a cubic polynomial p(x)=3x3−10x2−27x+10 are 5, -2 and 13. Verify the relation between its zeros and coefficients.

Given the zeroes of a cubic polynomial p(x)=3x3−10x2−27x+10 are 5,

1.	Given the zeroes of a cubic polynomial p(x)=3x3−10x2−27x+10 are 5, -2 and 13. Verify the relation between its zeros and coefficients.
Answer» Given the zeroes of a cubic polynomial $p (x) = 3 x^{3} - 10 x^{2} - 27 x + 10$ are 5, -2 and $\frac{1}{3}$ . Verify the relation between its zeros and coefficients.