Chapter 4 - Polynomial and Rational Functions - 4.5 The Real Zeros of a Polynomial Function - 4.5 Assess Your Understanding - Page 234: 106

$0,6,\frac{11}{4}$

Step 1 Find zeros of $f(x)=4x^3-11x^2-26x+24$ as $x=-2,4,\frac{3}{4}$ (see figure). Step 2. As $f(x-2)$ can be obtained from $f(x)$ by shifting the curve 2 units to the right, we can find zeros for $f(x-2)$ as $x=0,6,\frac{11}{4}$