Question 1039294
Real coefficients and one complex root means the complex conjugate is also a root.
{{{f(x)=a(x+3)(x-(4+4i))(x-(4-4i))}}}
{{{f(x)=a(x+3)(x^2-8x+32)}}}
{{{f(-1)=a(-1+3)(1+8+32)=82}}}
{{{a(2)(41)=82}}}
{{{a=1}}}
.
.
.

{{{f(x)=(x+3)(x^2-8x+32)}}}
or

{{{f(x)=x^3-5x^2+8x+96}}}