Concept explainers
To find: all real zero of the function.
The only real zero of this function is
Given information:
The function
Formula used:
The Rational Zero Theorem:
If
Calculation:
Consider the function
The constant term is
The leading coefficient is
So, all possible rational zeros are:
Simplify fractions:
Try it
So,
Try it
So,
(The coefficients of the last polynomial can be read from the last row of the table used for synthetic substitution.)
Define
Any zero of
Try it
So,
Furthermore,
and
To find other zeros and solve the equation
The solution of the equation
Here
So, the solutions of the equation
Thus, all real zeros of
Thus, the only real zero of this function is
Chapter 2 Solutions
Holt Mcdougal Larson Algebra 2: Student Edition 2012
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