Question 1079213
Real coefficients means complex roots occur in complex conjugate pairs.
{{{f(x)=(x-9)(x-i)(x+i)(x-(-6+i))(x-(-6-i))}}}
{{{f(x)=(x-9)(x^2+1)(x^2+12x+37)}}}
{{{f(x)=(x^3-9x^2+x-9)(x^2+12x+37)}}}
{{{highlight(f(x)=x^5+3x^4-70x^3-330x^2-71x-333)}}}