1) x⁴ - 2x² - 8 = (x² - 4)(x² + 2) = (x - 2)(x + 2)(x² + 2) ) =
= (x - 2)(x + 2)(x - i√2)(x + i√2)
2) x⁴ - 4x² - 5 = (x² - 5)(x² + 1) = (x - √5)(x + √5)(x² + 1 ) =
= (x - √5)(x + √5)(x - i)(x + i)
4) x⁴ - 6x² + 8 = (x² - 4)(x² - 2) = (x - 2)(x + 2)(x - √2)(x + √2)
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Verified answer
1) x⁴ - 2x² - 8 = (x² - 4)(x² + 2) = (x - 2)(x + 2)(x² + 2) ) =
= (x - 2)(x + 2)(x - i√2)(x + i√2)
2) x⁴ - 4x² - 5 = (x² - 5)(x² + 1) = (x - √5)(x + √5)(x² + 1 ) =
= (x - √5)(x + √5)(x - i)(x + i)
4) x⁴ - 6x² + 8 = (x² - 4)(x² - 2) = (x - 2)(x + 2)(x - √2)(x + √2)