Find all possible real solutions of each equation in Exercises 31–44.
To calculate: The all real solutions in the polynomial equation .
The provided polynomial equation is .
Zero product rule:
An equation is true if and only if or , both
A product is zero if and only if at least one factor is zero
The value of in the equation can be given by the quadratic formula,
where and are real numbers with .
Consider the polynomial equation .
First determine the single solution in this cubic equation
Compare the equation with the standard cubic equation .
Therefore, possible factor of is and is
First try substitute in the provided polynomial equation ,
This is true
Therefore, is a factor of the polynomial .
In order to find other two values of , divide by ,
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