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makvit [3.9K]
1 year ago
12

I need to know the answer

Mathematics
1 answer:
grandymaker [24]1 year ago
3 0

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)

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