SOLUTION: Give an example of a polynomial p of degree 6 such that p(0) = 5 and p(x)≥5 for all real numbers x.

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Question 948109: Give an example of a polynomial p of degree 6 such
that p(0) = 5 and p(x)≥5 for all real numbers x.
Answer by Edwin McCravy(20054) About Me  (Show Source):
You can put this solution on YOUR website!
The easiest one is 

p(x) = x6 + 5

since p(0)=5 and x6 has an even exponent and 
therefore is never never negative. and when 5 is added 
to it, the sum is always greater than or equal 
to 5. 

Edwin