Check that \(3, –1, \frac{-1}{3}\) are the zeroes of the cubic polynomial \(p(x) = 3x^3 – 5x^2 – 11x – 3\), and then prove the relationship between the zeroes and the coefficients.
\(3\) is the of the polynomial \(p(x) = 3x^3 – 5x^2 – 11x – 3\)
\(-1\) is the of the polynomial \(p(x) = 3x^3 – 5x^2 – 11x – 3\)
\(\frac{-1}{3}\) is the of the polynomial \(p(x) = 3x^3 – 5x^2 – 11x – 3\)
[Note: Enter the whole number as fraction without simplification]