Final answer:
The function g(x) can be computed by substituting the given values of x. To determine the values of x such that g(x) = 0, the equation can be rearranged and solved using the quadratic formula.
Step-by-step explanation:
The function g(x) is given by g(x) = 3x⁴ + αx³ + 2x² + βx + 1.
(a) To compute g(x), substitute the given values of x into the function.
(b) To determine the values of x such that g(x) = 0, rearrange the equation and use the quadratic formula to solve for x.