If i randomly pick a polynomial, is it more likely to have real roots or complex roots?

Question

Mathematics

Guillermo

9 February, 15:37

If i randomly pick a polynomial, is it more likely to have real roots or complex roots?

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Tony Mcguire · Answer 1

I would say you are more likely to have complex roots. If you think of graphs of polynomials, if you draw a function that doesn't pass through the x-axis, all roots are complex.