Problem 91 of 7
Factor polynomial expression x^4+13x^2+36 using complex conjugate factors.
Using a hint is okay. It just tells the trainer to give you a little more review.
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identify and pair conjugates.
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Expression must factor over complex numbers into conjugate pairs, possibly with real factors.
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Your answer is equivalent to the expected form.
Walkthrough
Full solution stays hidden until you ask for it.
1. Identify real factors and quadratics with negative discriminants or sums of squares.
2. Find complex conjugate roots for each irreducible quadratic.
3. Write linear factors in conjugate pairs.
Use the worked steps, then substitute the final answer back into the original relationship to confirm it satisfies the prompt.
Leaving irreducible real quadratic factors when complex factorization is requested.