Problem 27 of 7
Factor the higher-degree polynomial using complex quadratic factors: x^4+20x^2+64.
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Hidden until you reveal it.
identify irreducible-over-real factors that split over complex numbers.
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Recognize quadratic-in-form structure and split real irreducible quadratics over complex numbers when requested.
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Your answer is equivalent to the expected form.
Walkthrough
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1. Substitute u=x^2 if quadratic in form.
2. Factor in u.
3. Replace u with x^2 and factor quadratics over complex numbers.
Use the worked steps, then substitute the final answer back into the original relationship to confirm it satisfies the prompt.
Stopping at irreducible real quadratics if complete complex factorization is requested.