Question 966500


The polynomial


{{{f(x)}}} = {{{(x-5)^2}}}.{{{(x-6i)}}}.{{{(x+6i)}}} = {{{(x-5)^2}}}.{{{(x^2+36)}}}


has real coefficients,  the degree 4,  the root  5  of multiplicity  2  and the root  6i.