Dividing polynomials by binomials 3

The  exercise appears under the Algebra II Math Mission. This exercise continues more advanced practice with the operation of division with polynomials.

Types of Problems
There is one type of problem in this exercise:


 * 1) Divide the polynomials and determine the restriction: This problem has a ratio of polynomials with a binomial in the denominator. The student is asked to correctly simplify the ratio and provide the restriction on the domain of the expression.Dpbb3-1.png

Strategies
Knowledge of fractions and factoring are encouraged to ensure success on this exercise.
 * 1) In these problems, the quadratic in the numerator has a leading coefficient that is not one. Any technique can be used to factor this quadratic.
 * 2) The denominator is one of the factors of the numerator.
 * 3) The restricted domain answer is the zero of the binomial in the denominator (where the bottom is zero).
 * 4) Answers can be submitted in factored form to increase efficiency.

Real-life Applications

 * 1) Rational expressions are an abstraction of fractions and increase proficiency with fractions.
 * 2) Rational equations occur in "Work rate problems" and distance=ratextime problems.