Question

Find the number of complex roots for a 12^th degree polynomial f(x) if there is no positive and negative real roots but f(0) = 0.

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Answer 1

No. of complex roots = Total No. of roots - No. of +ve real root- No. of - ve real root - zero root ( if zero satisfy the equation)

= 12 - 0 - 0 -1

= 12 - 1 = 11