Answer
$f(x)=(x+5)(2x+3)(4x-1)$
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 $8x^2+10x-3$.
Step 3. Factor $8x^2+10x-3$ to get $(2x+3)(4x-1)$ thus $f(x)=(x+5)(2x+3)(4x-1)$