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6 December, 07:43

Complete the steps to solve the polynomial equation x3-21x=-20 according to the rational root theorem, which number is a potential root of the polynomial?

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  1. 6 December, 07:57
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    X^3 - 21x + 20 = 0

    potential roots are factors of 20 eg 1, 2,4,5, 10, 20 and the negative values of these

    1 looks like a rots. Try it:-

    f (1) = 1 - 21 + 20 = - 20+20 = 0

    Yes 1 is a solution.

    2 is not.

    Try 4:-

    4^3 - 21*4 + 20 = 64 - 84 + 20 = 0

    Try 5 No

    Try 10 - N0

    20 no.

    Try - 4 - No

    -5:-

    Yes

    Roots are 1, 4 and - 5
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