Problem 126 of 7
Explain why complex numbers complete factorization of x^2+10x+26.
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connect negative square roots to linear factors.
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Polynomial must have no real linear factor but have complex roots.
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Solution
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1. Identify why real roots or real factors are unavailable.
2. Find the complex roots using i.
3. Use each complex root to form a linear factor.
Use the worked steps, then substitute the final answer back into the original relationship to confirm it satisfies the prompt.
Saying complex numbers change the original polynomial.