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14 April, 19:23

Which polynomial is prime?

(x4 + 3x2 - x2 - 3) (x4 - 3x2 - x2 + 3) (3x2 + x - 6x - 2) (3x2 + x - 6x + 3)

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  1. 14 April, 20:38
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    A polynomial is prime when it can't be factored anymore:

    For

    x4 + 3x2 - x2 - 3

    It can still be factored into:

    (x2 - 1) (x2 + 3)

    For

    x4 - 3x2 - x2 + 3

    It can still be factored into:

    (x2 - 3) (x2 - 1)

    For

    3x2 + x - 6x - 2

    It can still be factored into:

    (3x + 1) (x - 2)

    For

    3x2 + x - 6x + 3

    It can't be factored anymore using real number.

    Therefore, the last option is the prime polynomial
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