Question

How do you find the zeroes for `f(x) = (x-11)(x-5)(x-1)(x+5)`?

Answer 1

The zeros of a function occur at those values of the argument for which the function has the value 0.

If `f(x) = (x-11)(x-5)(x-1)(x+5) = 0`

Then
`x-11 = 0 rarr x=11`
or
`x-5 = 0 rarr x=5`
or
`x-1 = 0 rarr x= 1`
or
`x+5 = 0 rarr x=-5`