Multiplying binomials 2

The  exercise appears under the Algebra I Math Mission. This exercise continues to develop techniques for multiplying binomials against binomials.

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


 * 1) Multiply the binomials: This problem has the product of two binomials and a list of possible answers. The student is asked to select the correct answer from the multiple choice list, or indicate that the correct answer is not provided.Mulbin2-1.png

Strategies
Knowledge of the distributive property is all that is required to complete this exercise, although there are techniques that can help to make it more efficient.
 * 1) To multiply binomials it is possible to use the FOIL technique which involves finding the product of the first terms in each binomials, then the outer, then the inner, and finally the last. In this problem the outers and inners will need to be combined.
 * 2) The binomials here are not monic, that is, integers are used for the leading coefficient regularly.

Real-life Applications

 * 1) Polynomials can be used via power series to represent many complicated functions and calculus is simpler to perform on polynomials than other functions. Thus any comfort with polynomials should increase calculus ability.