Question 982468
{{{f(x)=k(x+2)(x-(2+4i))(x-(2-4i))}}}


{{{k(x+2)((x-2)-4i)((x-2)+4i)}}}


{{{k(x+2)(x^2-4x+4+16)}}}


{{{highlight(k(x+2)(x^2-4x+20))}}}-----still in factored form, just not showing any imaginary terms or numbers


{{{f(2)=k(2+2)(2^2-4*2+20)=64}}}
{{{k*4(4-8+20)=64}}}
{{{k*4(16)=64}}}
{{{k=64/(64)}}}
{{{highlight(k=1)}}}