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17 October, 13:02

Which of the following show the factored equivalent of f (x) = (x^2-81) (x+5) and it's zeroes

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  1. 17 October, 13:29
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    f (x) = (x²-81) (x+5)

    we can write 81 as 9²

    f (x) = (x²-9²) (x+5)

    using the formula a²-b² = (a+b) (a-b)

    factored form is:

    f (x) = (x+9) (x-9) (x+5)

    to find the zeros, f (x) = 0 and solve for x

    0 = (x+9) (x-9) (x+5)

    x+9=0, x=-9

    x-9=0, x=9

    x+5=0, x=-5

    zeros are 9, - 9 and 5
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