Making use of structure 2 - Factoring polynomials with special product forms

The  exercise appears under the Algebra II Math Mission. This exercise practices factoring "advanced" polynomials (i.e. polynomials of various degrees and or with two variables) using special product factorization methods.

Types of problems
There are two types of problem in this exercise:
 * 1) What is the special product form of the expression ___ ? Which of the expressions below have the same special product form as ___ ? : There are two parts to this question. For the first part, user has to find the special product form of the expression ___, and for the second part, user needs to find which of the expressions below have the same special product form as ___ by clicking the circles on the chart.
 * 2) Factor the polynomial expression ___ completely.: This problem has a polynomial expression and user is asked to factor it completely.

Strategies
Knowledge of polynomials and product forms are essential to have success while doing this exercise.
 * 1) If the $$c$$ term of a trinomial in $$x2 + bx + c$$ is a perfect square, then it may be a perfect square trinomial, a trinomial that is the product of a polynomial times itself. If it is, it'll be easy to factor.

Real-life Applications

 * 1) Problems like this will appear on standardized tests, like the SATs and ACTs.