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in this video were going to talk about how to factor polynomials by taking out the GCF by using difference of perfect squares sum of perfect cubes different of cubes factoring trinomials using substitution factoring by grouping completing the square using synthetic division and also were going to go over to some difficult problems at the end so lets start off the basics so lets say if you have this binomial 7x plus 21 how would you factor this expression now the first thing you should always look for is the GCF the greatest common factor the greatest common factor between 7 and 21 is 7 because 7 goes into itself and 21 so you want to factor out a 7 7 X / 7 if we write it out is X so that goes here 21 Y divided by this 7 gives you 3 y so that goes here and thats how you factor it by removing the GCF so lets try some other examples so go ahead and remove the GCF from 8 x squared + 12 X so Y squared and also from this one as well 36 X cubed + y squared minus 60 X to the fourth Y cub