The sum of the cubes of all the roots of the equation x^ 4 - 3x^ 3 - 2x^ 2 + 3x + 1 = 0 is _____.

JEE Main 2022 Mathematics question

The sum of the cubes of all the roots of the equation is .

Answer: 36

The equation factorises as . The roots are 1, −1, and the roots , of ,

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Question ID VK-025364