Solve factorable quadratic equations (leading coefficient is other than 1)

The  exercise appears under the Algebra I Math Mission. This exercise practices solving equations via factoring with general quadratics.

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


 * 1) Solve the quadratic equation: This problem provides a quadratic equation that can be factored over integers. The student is expected to factor the equation and use the factored form, with the Zero Product Property, to solve the equation.Sqbf2-1.png

Strategies
Knowledge of the Zero Product Property and experience with factoring techniques will ensure accuracy and efficiency on this exercise.
 * 1) The Zero Product property states that if $$ab=0$$, then either a or b is zero.
 * 2) Many of these problems require a greatest common factor to be pulled out before the quadratic is to be factored.
 * 3) The quadratic formula can also be used to ensure accuracy, but efficiency would be challenging with this method.
 * 4) These quadratics have a leading coefficient that is not one, so the factoring is more involved than with monic polynomials

Real-life Applications

 * 1) Quadratics are used to model gravity in physics.
 * 2) Quadratics have several applications in business ranging from cost, revenue, and profit to supply and demand.