Using the given zero, find one other zero of f (x). i is a zero of f (x). = x4 - 2x3 + 38x2 - 2x + 37.

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Mathematics

Haleigh Berg

3 January, 11:12

Using the given zero, find one other zero of f (x). i is a zero of f (x). = x4 - 2x3 + 38x2 - 2x + 37.

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Jamar Sullivan · Answer 1

If i is a zero of the polynomial, then the factor is (x - i). Because of the conjugate rule, it is understood that one other root of the polynomial HAS to be (x + i). So that's one other root. The other 2 roots are (1 + 6i) and (1 - 6i).