If a polynomial function f(x) has roots –8, 1, and 6i, what must also be a root of f(x)?
Asked by maham237 @ in Mathematics viewed by 350 People
If a polynomial function f(x) has roots –8, 1, and 6i, what must also be a root of f(x)?
–6
–6i
6 – i
6
Answered by maham237 @
For any polynomial with a complex root, the imaginary part of the complex root always has positive and negaive component. Since one of the roots of this polynomial is 6i, then -6i must also be a root of the function.
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