Answer
$f(x)=(x-2)(x+3)(2x-5)$
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 $2x^2+x-15$.
Step 3. Factor $2x^2+x-15$ to get $(x+3)(2x-5)$ thus $f(x)=(x-2)(x+3)(2x-5)$