SOLUTION: This problem I need to factor but I think I am a little confused with it. Factor algabraic expressions completely 16x^2 + 4x + 25

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Question 231988: This problem I need to factor but I think I am a little confused with it.
Factor algabraic expressions completely
16x^2 + 4x + 25

Answer by Alan3354(69443)   (Show Source): You can put this solution on YOUR website!
That can't be factored with real numbers.
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Solved by pluggable solver: SOLVE quadratic equation (work shown, graph etc)
Quadratic equation (in our case ) has the following solutons:



For these solutions to exist, the discriminant should not be a negative number.

First, we need to compute the discriminant : .

The discriminant -1584 is less than zero. That means that there are no solutions among real numbers.

If you are a student of advanced school algebra and are aware about imaginary numbers, read on.


In the field of imaginary numbers, the square root of -1584 is + or - .

The solution is , or
Here's your graph:



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