Problem 60 of 7
Build a polynomial from specified roots i with multiplicity 2, and -i with multiplicity 2.
Using a hint is okay. It just tells the trainer to give you a little more review.
Hidden until you reveal it.
multiply linear factors including conjugates.
Hidden until you reveal it.
Include a factor for each root and multiplicity; include conjugates for real coefficients.
Enter your answer
Your answer is equivalent to the expected form.
Walkthrough
Full solution stays hidden until you ask for it.
1. Write x minus each root as a factor.
2. Apply multiplicities and conjugate pairs.
3. Multiply factors if expanded form is requested.
Use the worked steps, then substitute the final answer back into the original relationship to confirm it satisfies the prompt.
Omitting multiplicity or conjugate roots required for real coefficients.