When can you factor?
Factoring works when the quadratic can be written as:
(x−a)(x−b)=0
Steps to solve by factoring
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Set the equation equal to zero
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Factor the quadratic
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Set each factor equal to zero
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Solve
Example
x^2 + 5x + 6 = 0
Factor:
(x+2)(x+3)=0
Solutions:
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x=−2
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x=−3