Asked by ash
                find the remaining zeros of f. 
degree 4 zeros i, -18+i
enter the remaining zeros of f
please help me out!
            
        degree 4 zeros i, -18+i
enter the remaining zeros of f
please help me out!
Answers
                    Answered by
            Reiny
            
    complex roots always come in conjugate pairs,
so the roots are ±i and -18+i and -18-i
so you would have
(x+i)(x-i)(x+ 18-i)(x+18+i)=0
(x^2 + 1)(x^2 + 18x + xi + 18x + 324 + 18i - xi - 18i - i^2) = 0
(x^2 + 1)(x^2 + 36x +324 + 1) = 0
(x^2 + 1)(x^2 + 36x + 325) = 0
expand again, and simplify
    
so the roots are ±i and -18+i and -18-i
so you would have
(x+i)(x-i)(x+ 18-i)(x+18+i)=0
(x^2 + 1)(x^2 + 18x + xi + 18x + 324 + 18i - xi - 18i - i^2) = 0
(x^2 + 1)(x^2 + 36x +324 + 1) = 0
(x^2 + 1)(x^2 + 36x + 325) = 0
expand again, and simplify
                                                    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.