Concept explainers
To find: all real zeros of the function.
The real zeros of the function
Given information:
The function
Formula used:
The Rational Zero Theorem:
If
Calculation:
Consider the function
The list of probable rational zeros is below, and to the right are some of their synthetic divisions.
\polyhornerscheme
all the positive integer potential zeros up to
Now, use the last row (without the last number
all the negative integer potential zeros down to
The polynomial has a degree of
By using the last row of the synthetic division,
However, this is not factorable, use the quadratic formula:
However, these two zeros are imaginary.
Therefore, the only real zeros are
Chapter 2 Solutions
Holt Mcdougal Larson Algebra 2: Student Edition 2012
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