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 zeros by the synthetic division until it finds a zero. If a test number is not a zero, the last number of the last row of the synthetic division won't be
number.
Let's test
And
Let's test
And
Let's test
And
Now, let's test the negative numbers.
Let's test
And
Let's test
And
Now, use the last row to translate it back to an equation involving
By using the last row of the synthetic division above,
It divides this equation by
However, this equation is not factorable. If we use the quadratic formula, it will only give us imaginary zeros.
Therefore, all real zeros:
Chapter 2 Solutions
Holt Mcdougal Larson Algebra 2: Student Edition 2012
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