Question

**Write a function that crosses the x-axisat x = 3 and x = -2, and bounces off thex-axis at x = 5.

Answer 1

First, lets draw a graph of some function that has this properties:

in our case, we know that if our function is a polynomial and has a bounce in some point, that means that the point that its bounces is a even degree root, wich means that is a double root, or a fouth root...

So, if we construct a polinomial with the form:

`f(x)=(x-(-2))*(x-3)*(x-5)^2`

Is a polynomial that has roots in x=3, x=-2 and double root in x=5, meaning that bounces in x=5.