To determine the zeros of the polynomial function f(x) = 6x³ + 31x² + 4x – 5, we need to find the values of x for which f(x) = 0.
This can typically be done through various methods such as factoring, using the Rational Root Theorem, or applying synthetic division if applicable. For a cubic polynomial like this one, we might also resort to numerical methods or graphing to approximate the roots.
In this case, the real zeros can be found using numerical methods or through techniques like the Newton-Raphson method, as the polynomial does not factor neatly into simpler expressions. After applying these methods or using a graphing tool, we would identify the approximate values for the zeros.
In essence, the zeros of this polynomial function are the x-values where the graph of the function crosses the x-axis, indicating the points at which the function evaluates to zero.