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5 September, 06:29

What polynomial has roots of - 6, 1, and 4?

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  1. 5 September, 07:32
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    The answer is c.

    If you have a root (a), it can also be written as (x-a).

    (x+6), (x-1), (x-4)

    Multiply all of them together to get the equation

    (x+6) (x-1) (x-4) =

    (x2-x+6x-6) (x-4) =

    (x2+5x-6) (x-4) =

    (x3+5x2-6x-4x2-20x+24) =

    x3+x2-26x+24
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