SOLUTION: List the possible rational zeros of the function using the rational root theorem. {{{ f(x) = x^3 - 5x+16 }}}

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: List the possible rational zeros of the function using the rational root theorem. {{{ f(x) = x^3 - 5x+16 }}}       Log On


   

Question 626811: List the possible rational zeros of the function using the rational root theorem.
+f%28x%29+=+x%5E3+-+5x%2B16+
Answer by jsmallt9(3758) About Me  (Show Source):
You can put this solution on YOUR website!
The rational zeros of a polynomial are all the possible ratios, positive and negative, that can be formed using a factor of the constant term (at the end) over a factor of the leading coefficient.

Your constant term is 16. Its factors are 1, 2, 4, 8 and 16
Your leading coefficient is 1. It has only 1 as a factor.

The possible rational zeros of f(x) are:
1/1 (or 1), -1, 2/1 (or 2), -2, 4/1 (or 4), -4, 8/1 (or 8), -8, 16/1 (or 16) and -16.