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| PAGE: 239 | SET: Exercises | PROBLEM: 41 |
The polynomial 
has a degree of 
, whose coefficients are real numbers.
Its zeros are 
and 
.
By corollary theorem:
The polynomial of third degree with real coefficients must have one real zero.
The polynomial with third degree must have one real zero.
By conjugate pairs theorem:
If is a zero of the polynomial then 
is also be the zero of the function.
Hence the polynomial has four zeros.
Therefore statement is contrdictory.
The statement is contrdictory.
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