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The least possible degree of a polynomial equation, with real coefficients having 2ω2, 3 + 4ω, 3 + 4ω2, 5 − ω − ω2 as roots is ________ 
(ω, ω2 are non-real cube roots of 1).
    Correct answer is '5'. Can you explain this answer?
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    The least possible degree of a polynomial equation, with real coeffici...
    The least possible degree of a polynomial equation with real coefficients and having 2 as a root is 1.

    This is because if 2 is a root of the polynomial equation, then it means that when we substitute 2 into the equation, we get a value of 0. In other words, the polynomial equation can be factored as (x - 2) times some other polynomial.

    For example, (x - 2) is a linear polynomial of degree 1.
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    The least possible degree of a polynomial equation, with real coefficients having 2ω2, 3 + 4ω, 3 + 4ω2, 5 − ω − ω2 as roots is ________(ω, ω2 are non-real cube roots of 1).Correct answer is '5'. Can you explain this answer?
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