Question

I need to know the answer

Answer 1

Answer:
`f(x)=-(x-5)^(2)(x+2)`

Explanation:

There is a double root at x=5 and a single root at x=-2, so we know f(x) is of the form
`f(x)=a(x-5)^(2)(x+2)` for some constant a.

To find a, we can substitute the coordinates of the y-intercept, (0, -50).

`-50=a(0-5)^(2)(0+2)\\\\-50=50a\\\\a=-1`

So,
`f(x)=-(x-5)^(2)(x+2)`