Marcus2935
19.01.2020 •
Mathematics
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
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Ответ:
9514 1404 393
c. 5 + 3i and 3i only
Step-by-step explanation:
The conjugates of the given complex roots must also be roots of the equation.
The conjugate of 5 -3i is 5 +3i.
The conjugate of -3i is 3i.
So, 5+3i and 3i must also be roots of the equation.
Ответ: