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Factoring Quadratic Equations
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Factoring Quadratic Equations
Factoring a quadratic equation means expressing it in two brackets.
A quadratic is a polynomial that looks like ax2 + bx + c, where a, b and c are just numbers.
For factoring the quadratic equation, you will find two numbers that will not only multiply to equal the constant term "c", but also add up to equal "b", the coefficient on the x-term
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Example: Solve the following quadratic equation given below, by factorization method.
x2 + 3x - (a2 + a - 2)
Solution:You have,
x2 + 3x - (a2 + a - 2) 
x2 + 3x - (a + 2)(a - 1) = 0  
x2 + {(a + 2) - (a - 1)}x - (a + 2) (a + 1) = 0 
{x2 + (a + 2) x}- (a - 1) x - (a + 2) (a - 1) = 0 
x {x + (a + 2)} - (a - 1){x + (a + 2)} = 0 
x + (a + 2){x- (a - 1)} = 0 
x + (a + 2) = 0 or,  x - (a - 1) = 0 
x = -(a + 2) or, x = a - 1.
 
   
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