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

Dec 4, 2016

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

#### Explanation:

Consider the product:

$x \left(x - 3\right) \left(x - 2\right)$

• 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 $2$