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Factor polynomials: complex numbers?
I was working on a reality easy complex number question on Khan Academy when I got stumped by part of an answer. The questions asked Which expressions are equivalent to x^8 - 25. I got two right, but I didn't understand the third correct answer which was
(x^2 + sqrt[5i])(x^2 - sqrt[5i])(x^4 - 5). Can someone explain to me why that is the same as x^8 -25?
Thanks a million!!
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