If a polynomial function f(x) has roots –8, 1, and 6i, what must also be a root of f(x)?

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asked Oct 24, 2017 105k views

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Jkoshy · Answer 1 · 2017-10-28T02:21:23+0000

The polynomial given is in fourth degree with four roots. If one of the given roots is an imaginary number, in this case 6i, the missing root is its conjugate. Thus, the last unknown root of the polynomial is -6i.

If a polynomial function f(x) has roots –8, 1, and 6i, what must also be a root of f(x)?

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