SOLUTION: Please help me solve this problem. Let {{{p(x)=5^3+3x+2}}}. Show that the equation {{{ p(x)=0}}} lacks rational solutions Thanks in advance!

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: Please help me solve this problem. Let {{{p(x)=5^3+3x+2}}}. Show that the equation {{{ p(x)=0}}} lacks rational solutions Thanks in advance!      Log On


   

Question 766246: Please help me solve this problem.
Let p%28x%29=5%5E3%2B3x%2B2.
Show that the equation +p%28x%29=0 lacks rational solutions
Thanks in advance!
Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
Please help me solve this problem.
Let p%28x%29=5%5E3%2B3x%2B2.
Show that the equation +p%28x%29=0 lacks rational solutions
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p%28x%29=5%5E3%2B3x%2B2.
p%28x%29+=+3x+%2B+127.
x = 127/3