Asked by Stone
Information is given about a polynomial f(x) whose coefficients are real numbers. Find the remaining zeros of f.
Degree 5; zeros: 9, 3+5i, -9i
Degree 5; zeros: 9, 3+5i, -9i
Answers
Answered by
Reiny
complex roots always come in conjugate pairs
so roots are 9, 3 ± 5i, ± 9i
fo f(x) = (x-9)(x-3-5i)(x-3+5i)(x+9i)x-9i)
= (x-9)(x^2 - 6x + 34)(x^2 + 91)
expand if need be
so roots are 9, 3 ± 5i, ± 9i
fo f(x) = (x-9)(x-3-5i)(x-3+5i)(x+9i)x-9i)
= (x-9)(x^2 - 6x + 34)(x^2 + 91)
expand if need be
There are no AI answers yet. The ability to request AI answers is coming soon!
Submit Your Answer
We prioritize human answers over AI answers.
If you are human, and you can answer this question, please submit your answer.