Concept explainers
To find the real zeroes of the polynomial function
![Check Mark](/static/check-mark.png)
Answer to Problem 96E
Explanation of Solution
Given:
Function:
Calculation:
The leading coefficient of given polynomial is 6 and the constant term is 30.
So, possible zeroes are:
Using synthetic division to check whether x = 1, is a zero or not.
Here, remainder is 0. So, x = 1 is a zero of the given polynomial.
So,
Now, consider
The leading coefficient of above polynomial is 5 and the constant term is -3.
So, possible zeroes are:
Using synthetic division to check whether x = 1, is a zero or not.
Here, remainder is not 0. So, x = 1 is not a zero of the given polynomial.
Using synthetic c division to check whether x = -2, is a zero or not.
Here, remainder is 0. So, x = -2 is a zero of the given polynomial.
So,
Now, consider
The above polynomial is a second degree polynomial.
So, zeroes of a second degree polynomial can be found using the formula
Conclusion:
Therefore, the zeroes of given polynomial function are
Chapter 2 Solutions
PRECALCULUS W/LIMITS:GRAPH.APPROACH(HS)
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