97.2k views
5 votes
Write a polynomial function of minimum degree with real coefficients whose zeros include those listed. Write the polynomial in standard form. 2, -4, and 1 + 3i (1 point)

User Eslam Adel
by
8.1k points

1 Answer

4 votes

Answer:

Imaginary roots occur in conjugate pairs

Therefor the roots are

8 , -14, 3 + 9i and 3 - 9i

f(x) = (x - 8)(x + 14)(x - (3 + 9i))(x - (3 - 9i))

Which expands to

f(x) = x⁴ - 58x² + 1212x - 10080

Explanation:


User Rujoota Shah
by
7.8k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories