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(39630)   (Show Source):
You can put this solution on YOUR website! ---------------------------
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
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1 -10 57
5 | 1 -5 7 -35
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| 5 0 35
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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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