Consider the function f(x) = x^3 - 15x^2 + 50x.? what are the real zeros in this function?

We have

.

To find zeros of this function we equate it with 0

.

First we factor out x

where we find that first zero is .

Then we look at the expression in parentheses

using Viéts rule (factorisation)

we can rewrite the equality

.

If either of the terms is zero then the equality is true so we get two more zeros and .

Hope this helps.

-2 is the right