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

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Answer 1 · 2018-05-28T01:35:30

#x=-5#

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(x)=(x+5)(x+5)#

Setting both factors equal to zero, we get

#x=-5#

Hope this helps!