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Concept explainers
To calculate:
All the real zeroes of the following functions of polynomial with the help of Rational zeroes theorem and the factor
![Check Mark](/static/check-mark.png)
Answer to Problem 55RE
The real zeroes of the given polynomial function are
Explanation of Solution
Given information:
Formula Used:
The potential rational zeroes is given by the following expression:
Where,
Quotients of the factors of the last term:
The factors of the leading coefficient:
Calculation:
The given function is:
The degree of the given polynomial function is
Now, the values of
Factors of
So the potential rational zeroes are defined as:
Now test the potential rational zeroes with the help of the synthetic division:
If the value of remainder is zero
Here, the remainder is
Now test for
Here, the remainder is
Now test for
Here, the remainder is
Now test for
Here, the remainder is
The solution of the given polynomial equation
The potential rational zeroes of
Now test the potential rational zeroes with the help of the synthetic division:
Now test for
Here, the remainder is
Now test for
Here, the remainder is
Now test for
Here, the remainder is
The real zeroes of
Hence, real zeroes are
Chapter 4 Solutions
Precalculus
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