Finding all possible rational zeros.

label Algebra
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Use rational zeros theorem to list all possible rational zeros of the following.

g(x)= -6x^3 - 2x^2 + 5x - 9

Be sure that no value in your list appears more than once.

Oct 17th, 2015

Hello!

Find the factors of the free term: +-1, +-3, +-9.
Find the factors of the leading coefficient: +-1, +-2, +-3, +-6.

Possible rational zeros:

+-1, +-3, +-9,
+-1/2, +-3/2, +-9/2,
+-1/3, +-3/3, +-9/3,
+-1/6, +-3/6, +-9/6.

They are:

+-1, +-3, +-9,
+-1/2, +-3/2, +-9/2,
+-1/3, +-1, +-3,
+-1/6, +-1/2, +-3/2.

Now list them without repetitions:
+-1, +-3, +-9, +-1/2, +-3/2, +-9/2, +-1/3, +-1/6.

Please ask if something is unclear.
Oct 17th, 2015

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