Answer
$f(x)=(x+4)(2x+1)(3x-1)$
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 $6x^2+1x-1$.
Step 3. Factor $6x^2+1x-1$ to get $(2x+1)(3x-1)$ thus $f(x)=(x+4)(2x+1)(3x-1)$