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in this video were going to talk about how to factor polynomials so lets start with some simple examples how would you factor this expression 6 x minus 12. all we can do is take out the gcf the greatest common factor which is six now to get what remains divide six x divided by six is x and negative twelve divided by six is negative two so thats all we could do for this example lets try two similar problems lets factor 3x cubed minus 9x squared and also 4x squared minus 12x so with the one on the bottom we need to take out the gcf we could take out a 4 from 4 and negative 12 and we can also take out an x variable because they both contain it 4x squared divided by 4x is x negative 12x divided by 4x is minus 3. so thats how we can factor that expression now for the one above we can also take out the gcf in this case the gcf is going to be 3 x squared we could take out a 3 from 3 and negative 9 and each term has at least two x variables so we can take out an x squared now three x cub