Problem 44 of 7
Use the conjugate root theorem for nonreal root -10i is a root of a real polynomial.
Using a hint is okay. It just tells the trainer to give you a little more review.
Hidden until you reveal it.
include conjugate of nonreal root.
Hidden until you reveal it.
Conjugate root theorem applies to polynomials with real coefficients.
Enter your answer
Your answer is equivalent to the expected form.
Walkthrough
Full solution stays hidden until you ask for it.
1. Check that the polynomial has real coefficients.
2. Conjugate the nonreal root by changing the sign of the imaginary part.
3. State the forced conjugate root.
Use the worked steps, then substitute the final answer back into the original relationship to confirm it satisfies the prompt.
Applying theorem to arbitrary complex-coefficient polynomials without that condition.