Question 878219: According to the Rational Root Theorem which are the possible roots of 8x^3-3x^2+5x+15? Explain step by step please so I learn how to do it on my own :-)
Answer by josgarithmetic(39625)   (Show Source):
You can put this solution on YOUR website! This would potentially test for any or as much as needed from the possible, testable roots ratio of factors of 15 to the factors of 8, both positive and negative. You will find no more than three roots which work for your given polynomial because it is degree 3.
The set of roots to consider are:
Positive and negative of 1,1/2, 1/4, 1/8, 3, 3/2, 3/4, 3/8, 5, 5/2, 5/4, 5/8, 15, 15/2, 15/4, 15/8.
Aside from the Rational Roots Theorem, there are other tests which may help to narrow the choices of roots to check.
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