SOLUTION: list ALL roots (rational, irrational, and/or complex) of the given polynomial equation by using the methods discussed (ex.step 1- determine all possible rational roots, step 2 use

Question 1206507: list ALL roots (rational, irrational, and/or complex) of the given polynomial equation by using the methods discussed (ex.step 1- determine all possible rational roots, step 2 use remainder theorem to find the first root, step 3 use synthetic division to get a depressed polynomial, step 4 start the process over again with the depressed polynomial)
x^3 - 5x^2 + 7x - 35 = 0

Answer by josgarithmetic(39618) (Show Source): You can put this solution on YOUR website!
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x^3 - 5x^2 + 7x - 35 = 0
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The possibilities will be from -1, -5, -7, -35, 1, 5, 7, 35.

-5  |   1   -5   7   -35
    |      -5   50    not going to work
    |________________________
        1   -10  57


5    |   1   -5   7   -35
     |
     |        5    0   35
     -----------------------------
        1     0    7    0

With that you know the equation can be written ; and the next two roots will be complex.
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