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Solving Cubic Equation Let f(x)= 0 be the given cubic equation To solve the equation, follow the steps given below 1. By trial and error method find a value of a such that f(a)=0 .Note that the value of a is a factor of the constant in the given equation 2. By factor theorem (x-a) is a factor of f(x). so f(x)= (x-a) G(x) where G(x) is a quadratic polynomial. G(x) can be found by synthetic division method 3 Solve G(x)=0 by any method you know. 4 The solutions are a and the solutions of G(x)=0