Solving Quadratic Equations by Factoring
Equations that can be written in the form Ax^{2} + Bx + C = 0
where a, b, and c are integers and a>0 are called quadratic equations . This form
is called
the standard form.
The easiest way to solve quadratic equations is to factor (if possible) the
polynomial on the left
side of the equation above . We then use the Zero Product Theorem .
Quadratic Equations :
1. x^{2} – 3x – 4 = 0 
This quadratic equation is in standard form. 
2. A^{2} = 6A – 9 
This quadratic equation is not in standard form. 
3. (x – 7)(x + 6) = –22 
This is a quadratic equation not in standard
form. 
4. (x + 8)(x – 5) = 0 
By the ZeroProduct Theorem, the quadratic
equation can be
solved. 
5. x(x – 14) = 0 
This quadratic equation is in factored form and
equal to zero ;
it can be solved by using the Zero Product Theorem. 
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