zjoshuac zjoshuac

06-07-2024
Mathematics

Answered

A polynomial function has -5 + √3i as a root. Which of the following must also be a root of the function?

A polynomial function has 5 3i as a root Which of the following must also be a root of the function class=

Answer :

Ravinajakhar Ravinajakhar

06-07-2024

Answer:

since the polynomial has -5+√3i as a root , by the complex conjugate root theorem, it's conjugate must also be a root of polynomial. the conjugate of -5+√3i is -5-√3i.

therefore, the root -5-√3i must also be a root of the polynomial.

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