Asked by liam
Write a polynomial function of least degree with rational coefficients so that P(x)=0 has the given root
3-7i
P(x)= x^2 - __x +__
3-7i
P(x)= x^2 - __x +__
Answers
Answered by
mathhelper
complex roots come in conjugate pairs, so if one is
3-7i, the other is 3+7i
sum of roots = 3-7i + 3+7i = 6
product of roots = (3-7i)(3+7i)
= 9 - 49i^2 = 9 + 49 = 58
equation is
x^2 - 6x +58 = 0
3-7i, the other is 3+7i
sum of roots = 3-7i + 3+7i = 6
product of roots = (3-7i)(3+7i)
= 9 - 49i^2 = 9 + 49 = 58
equation is
x^2 - 6x +58 = 0
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.