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.

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) (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

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SOLUTION: Give an example of a polynomial p of degree 6 such that p(0) = 5 and p(x)&#8805;5 for all real numbers x.

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.