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5.7 Summary of Factoring Techniques. Identifying Factoring Problem Types. 1. Factor out all common monomial factors. 2. If an expression has two terms, check to see if the problem type is: The difference of two squares The sum of two cubes The difference of two cubes.
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Identifying Factoring Problem Types • 1. Factor out all common monomial factors. • 2. If an expression has two terms, check to see if the problem type is: • The difference of two squares • The sum of two cubes • The difference of two cubes
3. If an expression has three terms, attempt to factor it as a trinomial (key method) • 4. If an expression has four or more terms, try factoring by grouping • 5. Continue until each individual factor is prime • 6. Check the results by multiplying out