Problem 45 of 7
Use complex conjugate factors to rebuild a real polynomial from (x-(1+i))(x-(1-i)).
Using a hint is okay. It just tells the trainer to give you a little more review.
Hidden until you reveal it.
multiply conjugates to get real coefficients.
Hidden until you reveal it.
Multiply conjugate linear factors to obtain 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 the conjugate factors as a difference of conjugate terms.
2. Multiply or use conjugate-product pattern.
3. Simplify using i^2=-1 to get real coefficients.
Use the worked steps, then substitute the final answer back into the original relationship to confirm it satisfies the prompt.
Nonreal coefficients after multiplying conjugates.