A cubic equation is a polynomial equation of the form ax^3 + bx^2 + cx + d = 0 , where a , b , c , and d are constants, and a ≠ 0 . The highest degree of the variable x is three, which means it can have up to three real roots. These roots can be found using various methods, including factoring, synthetic division, or applying the Cubic Formula. Cubic equations are important in various fields, including mathematics, physics, and engineering. They can model real-world situations, such as the volume of a cube or the trajectory of an object. Understanding cubic equations helps in solving complex problems and analyzing relationships between variables.