Equivalent forms of polynomial expressions

The  exercise appears under the Algebra II Math Mission. This exercise introduces the idea of an identity, specifically in polynomial expressions.

Types of Problems
There are two types of problems in this exercise:


 * 1) Select the expression that is equivalent: This problem has a given expression. The student is asked to select the one expression from the multiple choice list that is the same as the given expression.Efope1.png
 * 2) Select all expressions that are equivalent: This problem has a given expression. The student is asked to select all of the expressions from the multiple select list that are the same as the given expression.Efope2.png

Strategies
Knowledge of many of the factoring and simplification formulas for quadratic expressions (and higher) are encouraged to ensure success on this exercise.
 * 1) There are many methods to factor quadratic expressions where the leading coefficient is not one.
 * 2) The completion of the square algorithm shows up often on these problems.
 * 3) The difference of squares form occurs on these problems.

Real-life Applications

 * 1) An ability to manipulate expressions is used in the calculus to make formulas easier to perform calculus on.