Question

what aret the zeros of the function f(x) = x^2 - 5x

Answer 1

The zeros of a function are when the function is equal to zero.

If you graph that function, the zeros will be whenever it crosses the x-axis.

But first, let's set f(x) equal to 0: f(x) = 0 = x^2 - 5x.

We can factor out an 'x': 0 = x(x-5).

This says that either 0 = x or (x-5) = 0.

If we solve for 'x' in the second equation, we'll have x=5.

So, the zeros must be x=0 and x=5.