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calculus

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Leave any unneeded answer spaces blank.
[Hint: use synthetic division to solve.]

f(x) = (1x^3 - 3x^2 - 25x + 75)/(1x^3 - 19x^2 + 118x - 240)

the roots of f(x), in increasing order is/are.... ___, ___, ___
f(x) has holes when x is... ___, ___, ___
f(x)has vertical asymptotes when x is....___, ___, ___
f(x) has a horizontal asymptote at y = ___

  • calculus -

    by inspection, the numerator is (x^2-25)(x-3)
    The denominator is (x-5)(x-6)(x-8)

    so, there is a hole at x=5, but zeros at x = -5 and x=3

    vertical asymptotes at x=6,8

    hor asymp at y=1

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