Dividing polynomials by binomials 1

The  exercise appears under the Algebra II Math Mission. This exercise practices 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.Dpbb1-1.png

Strategies
Knowledge of fractions and factoring are encouraged to ensure success on this exercise.
 * 1) In these problems, the numerator is a monic polynomial with leading coefficient of one.
 * 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).

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.