Prove by contradiction or otherwise, show that is not a polynomial with real coefficients.
Posted in HKAL, Pure Mathematics |
if log x can be written as a polynomial of degree n Then since log (x^2) =2log x
Compare the degree on both sides, we have 2n=n=>n=0=> log x is a constant wihch is a contradiction
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if log x can be written as a polynomial of degree n
Then since log (x^2) =2log x
Compare the degree on both sides, we have
2n=n=>n=0=> log x is a constant wihch is a contradiction