Question 905134
Since the coefficients are real, the complex roots come in complex conjugate pairs.
{{{P(x)=(x+1)(x-(1+2i))(x-(1-2i))(x+3i)(x-3i)}}}
{{{P(x)=(x+1)(x^2-2x+5) (x^2+9)}}}
{{{P(x)=(x^3-x^2+3x+5)(x^2+9)}}}
{{{P(x)=x^5-x^4+12x^3-4x^2+27x+45}}}