Question

I need to know the answer

Answer 1

Answer: $f(x)=-(x-5)^{2}(x+2)$

Step-by-step 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, $f(x)=-(x-5)^{2}(x+2)$