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 .
ZeroProduct Theorem for any real numbers
a and b, if ab = 0, then a = 0 or b = 0. 
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 ZeroProduct Theorem. 
To solve quadratic equations by factoring:
1. Put the equation into standard form.
2. Factor the polynomial.
3. Set each factor equal to zero.
4. Solve each of the first degree equations. 
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