Thursday, September 16, 2010

Solve by finding all roots

Find all zeros of the function :


The only possible rational roots are factors of 18. We find that x=-1 and x=2 are factors. We can use long division or synthetic division to find the remaining quadratic factor:


We can factor further in the complex numbers:



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The real solutions are -1 and 2. The imaginary solutions are 3i and -3i.


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** The problem as stated has no rational roots, so I assume there was a sign error.**

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