what are the factors of x to the power 4 + 4?

Asked by  | 11th Sep, 2012, 11:37: AM

Expert Answer:

x^4 + 4
= (x^4 + 4x^2 + 4) - 4x^2, by completing the square unorthodoxically
= (x^2 + 2)^2 - (2x)^2
= (x^2 + 2 + 2x)(x^2 + 2 - 2x), by difference of two squares
= (x^2 + 2x + 2)(x^2 - 2x + 2).

Answered by  | 11th Sep, 2012, 12:08: PM

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