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

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Answer 1 · 2018-05-28T01:35:30

$x = - 5$ $x=-5$

To find the zeros, we must factor:

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

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

$f (x) = (x + 5) (x + 5)$ $f(x)=(x+5)(x+5)$

Setting both factors equal to zero, we get

$x = - 5$ $x=-5$

Hope this helps!

How do you find all zeros of f(x)=x2+10x+25f(x)=x^2+10x+25?