This is the personal website of
Thea Jahn
created at Touro College.
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My email is: tourotjahn@gmail.com Here is a problem demonstrating how to solve a quadratic equation of a trinomial.
The solution set for the equation x^{2} 5x = 6 is:
First the quadratic equation must equal 0.
x^{2}5x  6 = 0
Next, factor the trinomial as the
product of two binomials.
x^{2} 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:
x^{2} 5x  6 = 0
( x + 1 ) ( x  6 ) = 0
( x + 1 ) ( x  6 ) = 0
x^{2}+ 1x
 6x  6

x^{2} 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. x^{2}+ 8x + 15
2. x^{2}10x + 21
3. x^{2} 4x  45
Find the solution set , and check.
1. x^{2}+ 4x = 5
2. x^{2}+ 11x =  30
3. x^{2}= x + 12
4. x^{2}+ 4 = 5x
