# How do you find all zeros of f(x)=x^2+10x+25?

May 28, 2018

$x = - 5$

#### Explanation:

To find the zeros, we must factor:

What two numbers sum up to $10$ and have a product of $25$?

After some trial and error, we arrive at $5$ and $5$. Thus, we can factor this business as

$f \left(x\right) = \left(x + 5\right) \left(x + 5\right)$

Setting both factors equal to zero, we get

$x = - 5$

Hope this helps!