Answer
$0,\frac{11}{4},6$.
Work Step by Step
Step 1. Use synthetic division or graphing to find zeros of $f(x)=4x^3-11x^2-26x+24$ as $x=-2,\frac{3}{4},4$, see graph.
Step 2. As $f(x-2)$ can be obtained by shifting $f(x)$ 2 units to the right, the zeros for $f(x-2)$ are $x=0,\frac{11}{4},6$.