Concept explainers
The possible numbers of positive real zeros, negative real zeros and imaginary zeros of the given function.
It has been determined that the given function has
Given:
The function,
Concept used:
According to the Descartes’ rule of signs:
The number of positive real zeros of a polynomial function with real coefficients,
The number of negative real zeros of a polynomial function with real coefficients,
The number of imaginary zeros of a polynomial function with real coefficients,
Calculation:
The given function is
It can be seen that the number of changes in sign of the coefficients of
This implies that the possible number of positive real zeros are
Put
It can be seen that the number of changes in sign of the coefficients of
This implies that the number of negative real zeros is
The given function is a polynomial of degree
This implies that the total number of zeros is
Hence, the possible number of imaginary zeros are
Conclusion:
It has been determined that the given function has
Chapter 2 Solutions
Holt Mcdougal Larson Algebra 2: Student Edition 2012
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