If - 2 and 3 are roots of the equation a_0+a_1x+a_2x^2+a_3x^3+x^4=0 where a_0, a_1, a_2, a_3 are integers, then which one of the following is correct?

NDA 2024 Mathematics question

If and are roots of the equation where are integers, then which one of the following is correct?

Answer: (C)

With integer (rational) coefficients, irrational roots of the form occur in conjugate pairs, so and are also roots. The

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Question ID VK-029779