SOLUTION: 625x^4 − 16 factor polynomial completely. (5x-2)(5x+2)(25x-10i)(25x+10i) is this correct?

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Question 673372: 625x^4 − 16
factor polynomial completely.
(5x-2)(5x+2)(25x-10i)(25x+10i)
is this correct?
Found 2 solutions by Alan3354, MathTherapy:
Answer by Alan3354(69443)   (Show Source): You can put this solution on YOUR website!
625x^4 − 16
factor polynomial completely.
(5x-2)(5x+2)(25x-10i)(25x+10i)
is this correct?
==================
If you multiply the x terms, you get 15625x^4, so I'd say not.
= (5x-2)(5x+2)(25x + 4)
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Factor, unless spec'd otherwise, means integers, not complex numbers.
Answer by MathTherapy(10557)   (Show Source): You can put this solution on YOUR website!
625x^4 − 16
factor polynomial completely.
(5x-2)(5x+2)(25x-10i)(25x+10i)
is this correct?

This is a difference of two squares (DOTS) polynomial. As such, we get: ). You did factor the 1st polynomial, further, but you now need to factor the sum of two-squares polynomial, (), further.

= = (5x + 2i)(5x – 2i). This results in:

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