### Regent Math A problem and assignments

 This is the personal website of Thea Jahn created at Touro College.    This is my website:   http://student.webhop.org/tourotjahn    or   http://sites.google.com/site/tourotjahn/home    My e-mail is: tourotjahn@gmail.com      Here is a problem demonstrating how to solve a quadratic equation of a trinomial.   The solution set for the equation x2- 5x = 6 is:   First the quadratic equation must equal 0.   x2-5x - 6 = 0     Next, factor the trinomial as the product of two binomials.   x2- 5x - 6 = 0   ( x + 1 ) ( x - 6 ) = 0   Now check the quadratic equation by multiplying using FOIL:   Product of First terms: Product of Outer terms: Product of Inner terms: Product of Last terms:   x2- 5x - 6 = 0   ( x + 1 ) ( x - 6 ) = 0   ( x + 1 ) ( x - 6 ) = 0    x2+ 1x            - 6x - 6 ---------------------------- x2- 5x - 6   The check works.   Now solve for 0 to find the set solution of the problem. ( x + 1 ) = 0 , ( x - 6 ) = 0 x = - 1 , x = + 6 So the solution set is { -1, + 6 } Here are some other problems to try solving for trinomials quadratic equations:   Factor each trinomial as the product of two binomials.   1. x2+ 8x + 15   2. x2-10x + 21   3. x2- 4x - 45   Find the solution set , and check.   1. x2+ 4x = 5   2. x2+ 11x = - 30   3. x2= x + 12   4. x2+ 4 = 5x