Solving quadratics by factoring

The  exercise appears under the Algebra I Math Mission. This exercise practices solving equations via factoring with monic 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.Sqbf1.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) The quadratic formula can also be used to ensure accuracy, but efficiency would be challenging with this method.
 * 3) All quadratics provided are monic, that is, their leading coefficient is one.
 * 4) When there is only one spot for an answer, the quadratic is a perfect square trinomial.

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.