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14 June, 10:38

One of the zeros of the polynomial function is 5.

f (x) = x4-4x3-21x2+100x-100

What is the factored form of the function?

f (x) = (x-5) (x+5) (x-2) 2

f (x) = (x-2) 2 (x-5) 2

f (x) = (x-5) (x+5) (x-2) (x+2)

f (x) = (x-2) (x+2) (x-5) 2

+4
Answers (1)
  1. 14 June, 10:54
    0
    The last term is - 100 so its either a or d.

    Try a:-

    (x^2 - 25) (x-2) (x - 2)

    = x^2 - 25 (x^2 - 4x + 4)

    = x^2 + 4x^3 + 4x^2 - 25x^2 + 100x - 100

    = x^4 + 4x^3 - 21x^2 + 100x - 100

    Its a.
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