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Concept explainers
(a)
The zero or root feature using the graphical utility.
(a)
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Answer to Problem 77E
The zeros are -2 and around 0.268 and 3.732
Explanation of Solution
Given information:
The given function is shown below,
Formula used:
The horizontal axis is x −axis and the vertical axis is y- axis.
Calculation:
Let us draw the graph of the function,
We can observe from the graph that the zeros are -2 and around 0.268 and 3.732
Conclusion:
The zeros are -2 and around 0.268 and 3.732
(b)
The exact value of one of the zeros.
(b)
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Answer to Problem 77E
The exact zero of the function
Explanation of Solution
Given information:
The given function is shown below,
Formula used:
The one of the exact zero is done by putting
Calculation:
Let us find the one of the exact zero by putting
Hence, the exact zero of the function
Conclusion:
The exact zero of the function
(c)
The synthetic division for the given polynomial.
(c)
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Answer to Problem 77E
The function will become
Explanation of Solution
Given information:
The given function is shown below,
Formula used:
Synthetic division is a nice shortcut for long division of polynomials by divisors of the form
Calculation:
Let us use the synthetic division to verify the result of part (b).
Synthetic division is a nice shortcut for long division of polynomials by divisors of the form
The pattern for synthetic division of a cubic polynomial is summarized below
First we will have to set up an array,
Divisor
Quotient
Here,
Now, we can write the function as,
After factorizing the quotient,
Hence, after factorizing polynomial completely, the function will become
Conclusion:
The function will become
Chapter 2 Solutions
Precalculus with Limits
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