# How do you find all zeros of the function f(x)=(x+1/2)(x+7)(x+7)(x+5)?

Jul 15, 2016

The zeros will be at $x = - \frac{1}{2} , - 7 , - 5$

#### Explanation:

When a polynomial is already factored, as in the case above, finding the zeros is trivial.

Obviously if any one of the terms in parenthesis is zero, the whole product is going to be zero. So the zeros will be at:
$x + \frac{1}{2} = 0$
$x + 7 = 0$
etc.

The general form is if:
$x + a = 0$
then a zero is at:
$x = - a$

So our zeros will be at $x = - \frac{1}{2} , - 7 , - 5$