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4 September, 20:15

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

x3 - 9x2 - 22x + 24

x3 - x2 - 26x - 24

x3 + x2 - 26x + 24

x3 + 9x2 + 14x - 24

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  1. 4 September, 21:25
    0
    The correct option is C

    Step-by-step explanation:

    We have given the roots - 6, 1 and 4.

    Write down the roots:

    x = - 6, x=1, x=4

    Rewrite the roots as an expression:

    x+6=0

    x-1=0

    x-4=0

    Now we have the following expressions:

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

    Now Multiply the terms:

    = (x²-x+6x-6) (x-4)

    = (x²+5x-6) (x-4)

    =x (x²+5x-6) - 4 (x²+5x-6)

    =x³+5x²-6x-4x²-20x+24

    Solve the like terms:

    =x³+x²-26x+24

    Thus the correct option is C ...
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