Concept explainers
To explain: Can you use the rational zero theorem to find the zeros of the given polynomial function? Why or why not?
The rational zero theorem is not applicable for the polynomial function
Given information:
A polynomial function:
Formula used:
As per Rational Zero Theorem, the possible rational zeros for any function with integer coefficients can be obtained by dividing factors of leading coefficient of highest degree term with factors of the constant term as:
Calculation:
Upon looking at the given function, it can be observed that all the coefficients are not integers, so the function does not meet condition to apply the rational zero theorem. For example
Therefore, the rational zero theorem is not applicable for the polynomial function
Chapter 2 Solutions
Holt Mcdougal Larson Algebra 2: Student Edition 2012
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