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3.6-7 Factoring

3.6-7 Factoring - 3.6Factoring:AGeneralStrategy...

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3.6  Factoring:  A General Strategy  Steps to factoring a polynomial:   1. Always look for a  common factor  first; if there is one, factor out the GCF and be  sure to include  it in  your answer.   2. The count the terms.  a.  Two terms:   try factoring as a difference of  squares or as a sum or difference of cubes.  b.  Three terms:   Check whether it’s a perfect square trinomial; if not, factor by trial & error. c.   Four terms:   Try factoring by grouping. 3. Factor completely.   Sometimes one or more of the factors from steps 1 or 2 can be factored;  check each  factor to see if this is the case.  Remember some polynomials are prime; i.e. can’t  be factored. 4. Check your factorization. Factor each of the following completely. 1. 6x 4  – 3750 2. 5x 3  – 3x 2  - 45x + 27   3.

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