
Concept explainers
To calculate: The simplified form of the equation
Find all the possible zeros of rational function.

Answer to Problem 5CYU
The simplified form of the equation
Explanation of Solution
Given information:
The given equation:
Calculation:
Consider the expression as:
Now take
Here,
The leading coefficient is
Now factor of leading coefficient is:
Now to find the list of positive rational solutions for the expression look at the factors of the constants.
That are:
Here the last two terms subtracting values from the cube of the first and want to get zero,
So as have to take the positive number, and mostly take the less than mid-way.
So take a startup with
So the value is not zero its too grater than zero.
So check with the value
To get zero:
So the value is not zero its too grater than zero.
So check with the value
To get zero:
So the value is zero its rational root.
So check with the value
To get zero:
Here got the two real root, it means
Now divide the expression
So the other factor is:
Now find the factors of the expression
The leading coefficient is
Now factor of leading coefficient is:
Now to find the list of positive rational solutions for the expression look at the factors of the constants.
That are:
Now check it for
This is not a real root this this too longer then zero.
Now check it for
Now divide the equation by the factor
Now the remainder is zero, so factor
Factor out the greatest common factor:
Here these two factors are not same so this equation cannot be factored any more and had no rational roots.
Thus, the simplified form of the equation
Chapter 6 Solutions
Algebra 2
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