Does there exist a polynomial of degree 3 with real coefficients that has zeros 9 , - 9, and i ?
A)no
B)yes

Name: Does there exist a polynomial of degree 3 with real coefficients that has zeros 9 , - 9, and i ? A)no B)yes
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Question

Quizplus · Accepted Answer

A polynomial with real coefficients must have complex roots in conjugate pairs. Since i is a root, -i must also be a root, making it impossible for a degree 3 polynomial to have 9, -9, and i as its only roots.

Does There Exist a Polynomial of Degree 3 with Real