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 3 and the constant term is -12, the possible rational zeros are:
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
Let's test
And
Let's test
And
The degree of the polynomial is
By using the last row of the synthetic division, It is
Solve this by factoring:
or
Therefore, the real zeros are
Chapter 2 Solutions
Holt Mcdougal Larson Algebra 2: Student Edition 2012
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