SOLUTION: If 2 − i is a root of 3x^3 − 11x^2 + 11x + 5, then what are its other roots? A. -5, -3/3, -1,-1/3/ 1/3, 1,5/3,5 B. 2+i and 0 C. 2+i and 5/3 D. 2+i and -1/3

Algebra ->  Complex Numbers Imaginary Numbers Solvers and Lesson -> SOLUTION: If 2 − i is a root of 3x^3 − 11x^2 + 11x + 5, then what are its other roots? A. -5, -3/3, -1,-1/3/ 1/3, 1,5/3,5 B. 2+i and 0 C. 2+i and 5/3 D. 2+i and -1/3      Log On


   

Question 764461: If 2 − i is a root of 3x^3 − 11x^2 + 11x + 5, then what are its other roots?
A. -5, -3/3, -1,-1/3/ 1/3, 1,5/3,5
B. 2+i and 0
C. 2+i and 5/3
D. 2+i and -1/3
Answer by barunjha(4) About Me  (Show Source):
You can put this solution on YOUR website!
option D is correct.
Explanation:
As this equation has one complex root, hence one of other two roots will also be complex and it's conjugate. so the complex conjugate of 2-i is 2+i.
so the product of these two will be 5. third root will be -1/3
(x-2+i)(x-2-i)(x+1/3)= 3x^3 − 11x^2 + 11x + 5.