At which root does the graph of f(x) = (x – 5)2(x + 2)2 touch the x-axis?
-5
0-2
2
05

Answer:
Option B & D
Step-by-step explanation:
Function is;
f(x) = (x - 5)³(x + 2)²
We want to find the point in thich the graph of this function touches the x-axis.
Usually, the point at which the graph touches the x-axis means that y is 0 at that point.
Thus;
(x - 5)³(x + 2)² = 0
This means that;
x - 5 = 0 and x + 2 = 0
Thus,x = -5 and x = -2