The first thing you should look for in any factoring problem is a greatest common factor, or monomial that multiplies into all of the terms of the polynomial. From there, factor the remaining polynomial. If you don't recognize the GCF in the very beginning, you can still get the correct factorization in the end, but chances are that you'll be dealing with much larger numbers than necessary. Be sure to check each of your factors in the end to see if you might have missed a GCF along the way.
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