use the rational root theorem to list all possible rational roots for this equation then find any actual rational roots
2x^3-x^2+10x-5=0

Question

use the rational root theorem to list all possible rational roots for this equation then find any actual rational roots
2x^3-x^2+10x-5=0

anonymous · Answer

list all fractions where the numerator divides the constant 5 and the denominator divides the leading coefficient 2

anonymous · Answer

the only divisors of 5 are 5 and 1, and the divisors of 2 are 1 and 2
so the list looks like 
$$\pm1, \pm5,\pm\frac{1}{2},\pm\frac{5}{2}$$

anonymous · Answer

the only actual real zero is $\frac{1}{2}$ http://www.wolframalpha.com/input/?i=2x^3-x^2%2B10x-5%3D0

anonymous · Answer

ok and is this all i do

anonymous · Answer

you are asked to find the actual zeros as well
$\frac{1}{2}$ is the only one from the list that works

precal · Answer

3rd power means that you have 3 solutions
p/q helped you identify one of the solutions at 1/2
you will need to find the remaining two solutions
I suggest you use synthetic division to find the other two