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.

Algebra ->  Equations -> 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.      Log On


   



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) About Me  (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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