Question

What are th zeros of f(x)=x(x-8)

Answer 1

Hi there!

Let's solve this problem step by step!
The zeros of a function are the input values that produce an outcome of 0. To find this input values we must set up and solve an equation.


`f(x) = x(x - 8)`
Set up the equation


`f(x) = 0` thus
`x(x - 8) = 0`

Now use the rule AB = 0 gives A = 0 or B = 0. This rule basically means that if we have a product that equals 0, at least one of the factors must be 0.

Hence, we get the following:

`x = 0 \: \: or \: \: x - 8 = 0`

Finally add 8 to both sides in the right equation.

`x = 0 \: \: or \: \: x = 8`

The zeros of the function are 0 and 8.
~ Hope this helps you!