Concept explainers
(a)
To calculate: The real zeros of polynomial,
(a)
Answer to Problem 1CP
Solution:
The real zeros for polynomial
Explanation of Solution
Given information:
The provided polynomial is
Formula used:
If
Calculation:
Consider the polynomial,
Compare the quadratic equation
Now apply, the formula of real zeros for quadratic equation
Substitute,
The real zeros for quadratic equation
Hence, the real zeros for polynomial
(b)
To calculate: The real zeros of polynomial,
(b)
Answer to Problem 1CP
Solution:
The real zeros for polynomial
Explanation of Solution
Given information:
The polynomial is
Formula used:
If
Calculation:
Consider the polynomial,
Compare the quadratic equation
Now apply, the formula of real zeros for quadratic equation
Substitute,
The real zeros for quadratic equation
Hence, the real zeros for polynomial
(c)
To calculate: The real zeros of polynomial,
(c)
Answer to Problem 1CP
Solution:
There are no real zeros for polynomial
Explanation of Solution
Given information:
The polynomial is
Formula used:
If
The value of
Here, complex number is
Calculation:
Consider the polynomial,
Compare the quadratic equation
Now apply, the formula of real zeros for quadratic equation
The real zeros for quadratic equation
The real zeros for quadratic equation
Since, the zeros of polynomial are complex number
Thus, there is no real zeros for polynomial
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Chapter A4 Solutions
Calculus: An Applied Approach, Brief, Loose-leaf Version
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