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13 April, 19:39

What is a cubic polynomial function in standard form with zeros 4, - 1, and 2

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  1. 13 April, 21:40
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    The cubic polynomial would be x^3 - 5x^2 + 2x + 8

    Step-by-step explanation:

    In order to find this, start with parenthesis for each of the 3 in which we use x and the opposite of the root. This is how we build a polynomial function.

    (x - 4) (x + 1) (x - 2)

    Now we multiply each together.

    (x - 4) (x + 1) (x - 2)

    (x^2 - 4x + x - 4) (x - 2)

    (x^2 - 3x - 4) (x - 2)

    x^3 - 3x^2 - 2x^2 - 4x + 6x + 8

    x^3 - 5x^2 + 2x + 8
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