Concept explainers
To write : the polynomial as the product of linear factors and list all the zeros of function
Answer to Problem 66E
The function as product of linear factors:
The zeros of the function are:
Explanation of Solution
Given information:
Concept Involved:
Linear Factorization Theorem:If
Complex Zeros Occur in Conjugate Pairs: Let f be a polynomial function that has real coefficients. If
Calculation:
To find the zeros of the function we need to set the function to zero
We can solve this equation using completing the square method by subtracting17 on both sides of the equation
Simplify on both sides of the equation
In order to make the left side expression as perfect square trinomial, we need to add square of half of coefficient of x on both sides
Simplify on both sides of the equation of the equation
Write the left side as a perfect square
Take square root on both sides
Split the number in the right side of the equation in such a way that we can simplify further
Simplifying square root on both sides of the equation
Subtract 5 on both sides of the equation
Simplify in left side of the equation
List the zeros of the functions given:
If
So
Write the function
Conclusion:
The zeros of the given function
The function written as product of linear factors:
Chapter 2 Solutions
EBK PRECALCULUS W/LIMITS
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