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:
Remove duplicates:
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.)
To find other zerossolve the equation
The solution of the equation
Here
But these are imaginary numbers!
Thus, the only real zero of this function is
Chapter 2 Solutions
Holt Mcdougal Larson Algebra 2: Student Edition 2012
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