Question

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

Answer 1

x = -2

Explanation:

The root will touch the axis and bounce off when the exponent is even. In that case, that means (x + 2)² is the binomial that will bounce. Therefore, the root which bounces and touches the x-axis is x = -2.