SOLUTION: Provide the requested response. Suppose that a polynomial function of degree 4 with rational coefficients has −3,−4,−5−ı as zeros. Find the other zero.
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Question 531345: Provide the requested response. Suppose that a polynomial function of degree 4 with rational coefficients has −3,−4,−5−ı as zeros. Find the other zero.
Answer by solver91311(24713) (Show Source): You can put this solution on YOUR website!
Why you would use Unicode #305 (dotless i) to represent the imaginary number 
is beyond me. It is a regular old with a dot and is defined as 
.
Be that as it may, complex roots of polynomial equations ALWAYS come in conjugate pairs. That means if 
is a root, then 
is also a root. Your given complex root is 
, so the other root is the conjugate of
John
My calculator said it, I believe it, that settles it
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