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