Question

How do you find the zeros of x(x-3)(x-2)?

Answer 1

The zeros are `0`, `3` and `2`

Explanation:

Consider the product:

`x(x-3)(x-2)`

• If any of the factors is zero then the product will be zero.

• If all of the factors are non-zero, then the product will be non-zero.

So the product is zero precisely when `x = 0`, `3` or `2`