Multiplying binomials by polynomials

 is an exercise under the Algebra II Math Mission. This exercise practices using the distributive property to express the product of a binomial and a polynomial as a single polynomial.

Types of Problems
There are two types of problem in this exercise:
 * 1) Express the product of ____ ,and ____, in standard polynomial form.: This problem has a binomial and user is asked to express the product of it as standard polynomial form.
 * 2) Which equation has the same solution as ____ = ____?: This problem has two binomials and user is asked to find which equation has the same solution for them.

Strategies
Knowledge of generating input and output pairs of a function are recommended for success on this exercise.
 * 1) In order to find the product of two polynomials, user must multiply each term in first polynomial by each term in the second polynomial. User can view this process as a double application of the distributive property.
 * 2) The expression on the left-hand side of the equation is a product of two binomials. User can replace the two terms with their product and obtain an equivalent equation (which means it will have the same solutions).

Real-life Applications

 * 1) Problems like this will appear on standardized tests, like the SATs and ACTs.