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Find a formula for a cubic function f if

f(3) = 144
and
f(−5) = f(0) = f(4) = 0.

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1 answer

  1. since you have given the three zeroes, it is clear that
    f(x) = a(x+5)(x)(x-4)
    since f(3) = 144,
    a(8)(3)(-1) = 144
    a =-6
    so
    f(x) = -6x(x+5)(x-4)

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