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
Since the leading coefficient is
Test these potential zeros by the synthetic division until it finds a zero. If a test number is a zero, the last number of the last row of the synthetic division will be
Let's test
And 1 is indeed a zero.
Now, use the last row (without the last number
Let's test
And
Let's test
And
The polynomial has a degree of
By using the last row of the synthetic division,
Solve this by factoring:
or
Therefore, the only real zeros are
Chapter 2 Solutions
Holt Mcdougal Larson Algebra 2: Student Edition 2012
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