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16 June, 04:33

One zero of x3 - 3x2 - 6x + 8 = 0 is - 2. What are the other zeros of the function?

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  1. 16 June, 07:42
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    Consider this solution, if it is possible, check the result:

    1) if to divide polynomial 'x³-3x²-6x+8' on 'x+2' result is: x²-5x+4, then x³-3x²-6x+8 = (x+2) (x²-5x+4);

    2) x²-5x+4 = (x-1) (x-4), then

    3) x³-3x²-6x+8 = (x+2) (x-1) (x-4).

    4) zeros are: - 2; 1; 4. Other zeros are: 1 and 4.

    Answer: 1; 4.
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