Factoring polynomials using quadratic methods

The  exercise appears under the Algebra II Math Mission. This exercise practices factoring polynomials that can be factored as the product of a monomial and a quadratic expression, then further factor the quadratic expression.

Types of problems
There is one type of problem in this exercise:
 * 1) Which student is correct ?: This problem has a quadratic expression that can be factored as ____ where __, __, and __ are integers, and two students that think the expression is equal to a number. This problem asks the user to find which student(s) are correct.

Strategies
Basic knowledge of polynomials and quadratics are required for this exercise.
 * 1) Both, one of, or none of the students may be correct in this exercise so user needs to make sure they have read both students' answers.