Answer:-
To factorize a cubic equation, follow these steps: Find a Root: Use trial and error to find a value of ???? x that makes the equation equal to zero. For example, test simple values like ???? = 1 , − 1 , 2 , x=1,−1,2, etc. Divide the Polynomial: Once you find a root ???? = ???? x=a, use synthetic or long division to divide the cubic equation by ( ???? − ???? ) (x−a). Factorize the Quotient: The result will be a quadratic equation. Factorize it further using methods like splitting the middle term or the quadratic formula. Write Final Factors: Combine all factors, e.g., ( ???? − ???? ) ( ???? ???? ???? ???? ???? ???? ???? ???? ???? ???? ???? ???? ???? ???? ???? ???? ) (x−a)(quadraticfactors).
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