math

f(x)= x^3 - 2x^2 - 21x - 18

all possible rational zeros
# of possible positive zeros
# of possible negative zeros
find all the real zeros

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  1. rational zeros (plus or minus)
    1,2,3,6,18

    By Descartes' Rule of Signs,
    1 positive root
    2 or 0 negative roots

    a little synthetic division yields

    f(x) = (x+1)(x+3)(x-6)

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