Factoring quadratics 2

The  exercise appears under the Algebra I Math Mission. This exercise introduces the idea of factoring quadratics and some slightly more complicated polynomials.

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


 * 1) Factor the quadratic: This problem provides a quadratic expression. The student is asked to correctly type the factored quadratic in the space provided to the right.Facquad2-1.png

Strategies
Knowledge of any quadratic factoring technique can be used to ensure accuracy and efficiency on this exercise.
 * 1) The GCF should be factored out first on this problems.
 * 2) Several problems on this exercise are not truly quadratic and require x to be pulled out.
 * 3) After factoring out the GCF, the quadratics are monic (have leading coefficient of one).
 * 4) When a quadratic is monic, the coefficient of the x is the "adding" number and the constant is your "multiplying" number. Find two numbers that add to the "adding" number and multiply to be the "multiplying" number.

Real-life Applications

 * 1) Polynomials can be used via power series to represent many complicated functions and calculus is simpler to perform on polynomials than other functions. Thus any comfort with polynomials should increase calculus ability.
 * 2) Factoring polynomials is an important skill in solving inequalities and equations with polynomials.
 * 3) Factoring polynomials can be used for solving equations with polynomials, such as those that appear in many business models.