SOLUTION: Given that f(x) has real coefficients and x=k is a zero, what other number must be a zero? Have no idea how to go about this. Please help me.
k=3- {{{ sqrt(2) }}}
k=1+i {{{ s
Algebra.Com
Question 627090: Given that f(x) has real coefficients and x=k is a zero, what other number must be a zero? Have no idea how to go about this. Please help me.
k=3-
k=1+i
k= + i
k=i
Found 2 solutions by stanbon, solver91311:
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
Your problem statement is incomplete.
Cheers,
Stan H.
==============
Answer by solver91311(24713) (Show Source): You can put this solution on YOUR website!
Both irrational and complex roots come in conjugate pairs given a polynomial equation with real coefficients.
If you have an irrational root of the form 
, then 
must also be a root. If you have a complex root of the form 
, then 
must also be a root. Hint: 
John
My calculator said it, I believe it, that settles it
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