how do you solve a cubic binonial in the denominator?
To solve a cubic binomial in the denominator, you generally follow these steps:
1. Start by setting the expression in the denominator equal to zero. This will help us find the possible values of the variable.
2. Next, factorize the cubic binomial. Look for any common factors or use methods like Synthetic Division, Rational Root Theorem, or Factoring by Grouping to simplify the expression.
3. Solve each factor separately. Set each factor equal to zero and solve for the variable to find the possible values.
4. Write down the solution set for the variable. These values will be the values that make the denominator equal to zero.
Note: It's also important to check if any of the solutions obtained from step 3 would lead to division by zero, as this would result in an undefined solution.