Problem 105 of 7
Build a quadratic from roots -1+i, -1-i.
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multiply linear factors.
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Roots must define a monic quadratic unless a scale factor is specified.
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Solution
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1. Write one factor for each root.
2. Multiply the two factors.
3. Set the resulting quadratic equal to zero.
Use the worked steps, then substitute the final answer back into the original relationship to confirm it satisfies the prompt.
Missing one conjugate when roots are complex.