Final answer:
The question requires finding a solution to a cubic equation, specifically from interval 1 to 2, which might involve numerical methods as the provided hints are more relevant to quadratic equations and do not apply to the actual problem.
Step-by-step explanation:
The student's question involves solving a cubic equation, specifically f(x) = 4x³ - 8x² - 3x - 2 = 0. However, the hints provided discuss quadratic equations, which are of the form ax²+bx+c = 0. To find a solution between 1 and 2, we might start by looking for rational roots using the Rational Root Theorem or by applying numerical methods like the Intermediate Value Theorem, which applies to continuous functions to find zeros within an interval. As none of the provided hints directly apply to a cubic equation, they seem to be typos or irrelevant to the question at hand. Since we are interested in an exact solution or approximation for the given cubic equation within a specified interval, we would potentially use numerical analysis methods such as the bisection method or Newton-Raphson method when analytical solutions are intractable.