Factoring quadratics with two variables

The  exercise appears under the Algebra I Math Mission. This exercise practices factoring quadratics with different multiple variables.

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.Fqwtv1.png

Strategies
Knowledge of any quadratic factoring technique can be used to ensure accuracy and efficiency on this exercise.
 * 1) Although there are two variables in these problems, if the y is imagined to be the number one, they can be viewed as monic quadratics in one variable.
 * 2) After factoring, each other first terms in the binomials should have an x and each other second terms should have a y.

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.