SOLUTION: how do you find he remaining zeroes of f if the degree of a polynomial is 4, and the zeroes are i,2 and-2

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Question 1125241: how do you find he remaining zeroes of f if the degree of a polynomial is 4, and the zeroes are i,2 and-2
Found 3 solutions by MathLover1, solver91311, ikleyn:
Answer by MathLover1(20850)   (Show Source): You can put this solution on YOUR website!

if the degree of a polynomial is , there is four zeros
and, if the zeroes are , and , missing fourth zero is because complex zeros always come in pairs













Answer by solver91311(24713)   (Show Source): You can put this solution on YOUR website!


Since f is of degree 4, there are exactly 4 zeros, counting multiplicities. Complex zeros ALWAYS appear in conjugate pairs, i.e. if is a zero, then must also be a zero.

Since is a zero, then must also be a zero.


John

My calculator said it, I believe it, that settles it
Answer by ikleyn(52795)   (Show Source): You can put this solution on YOUR website!
.
Your condition is FATALLY incomplete, missing the statement that the polynomial has real coefficients.


Only in this case and only under this assumption the conjugate complex roots go in pairs.


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