how do you factor polynomials  

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When you factor polynomials, the first thing to look for is the greatest common factor of all the coefficients involved in the polynomial.Once you factor out the GCF (or if there isn't one), then you have to factor the polynomial itself. There's a couple ways of going about this, such as completing the square, using difference of perfect squares, synthetic division, etc. I won't go into details with each method.When you factor a polynomial, make sure to check that you can't simplify it any further. Once you reach that stage, you have factored your polynomial.To summarize this, follow these steps:1. Factor out GCF2. Factor polynomial3. Simplify or factor further if possible