SOLUTION: Three roots of a polynomial equation with real coefficients are 3, 5 – 3i, and –3i. Which of the following numbers must also be a root of the equation? a. 5 + 3i only b. –3 a

Algebra ->  Rational-functions -> SOLUTION: Three roots of a polynomial equation with real coefficients are 3, 5 – 3i, and –3i. Which of the following numbers must also be a root of the equation? a. 5 + 3i only b. –3 a      Log On


   



Question 986482: Three roots of a polynomial equation with real coefficients are 3, 5 – 3i, and –3i. Which of the following numbers must also be a root of the equation?
a. 5 + 3i only
b. –3 and 5 + 3i only
c. 5 + 3i and 3i only
d. –3, 5 + 3i, and 3i

Answer by solver91311(24713) About Me  (Show Source):
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Rational roots can be singular, but complex roots must appear in conjugate pairs.

John

My calculator said it, I believe it, that settles it