Regent Math A problem and assignments

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Thea Jahn
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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
 
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