Answer
$f(x)=(x+2-i)(3x+2)(2x+1)$
Work Step by Step
Step 1. Use the given coefficients of the polynomial to set up a division as shown in the figure.
Step 2. Perform a synthetic division and find the quotient as $6x^2+7x+2$.
Step 3. Factor the quotient to get $(3x+2)(2x+1)$ thus $f(x)=(x+2-i)(3x+2)(2x+1)$