Question

At which root does the graph of f(x) = (x - 5)³(x + 2)2 touch the x-axis?

O-5
0-2
02
05

Answer 1

Explanation:

Wherever the fxn = 0 is where it touches the x -axis

0=(x-5)^3 (x+2)^2 means that one or both of the factors is 0

(x-5)^3 is zero at x = 5

(x+2)^2 is zero at x = -2

sooo 5 and -2