# How do you use synthetic division to f(x)=x^5-x^4+x^3-x+5; find f(1+i)?

$f \left(1 + i\right) = 2 - 3 i$
You must divide $f \left(x\right)$ with $\left(x - 1 - i\right)$ and the remainder is equal to
$f \left(1 + i\right)$.