Wednesday, 29 March 2017

Polynomial roots of degree 2



Since every polynomial of degree 'n' has 'n' complex roots.



Then what about P(x)=x2 .




Isn't x=0 the only possible root of this polynomial ?


Answer



A polynomial of degree n has n roots counting multiplicity. That means that if we have a factor (xa)k



we count the root a a total of k times, once per linear factor. In particular, x2 has a root at 0 of multiplicity 2.


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