Okay in this video I want to do an example of what's called synthetic division and synthetic division is when you basically are dividing one polynomial by a first-degree polynomial so X to the first it may or may not have you know a number in there if it's just X you would just break things up individually and it'd be pretty easy anyway so suppose we want to divide again X cubed minus 2x squared plus 3x minus 4 we're gonna divide that by X minus 2 what you do in this case is whatever we're dividing by so notice there's a minus 2 it's X minus 2 we actually take the opposite sign and we'll use positive 2 and that's what you stick outside and then notice I have 1x cubed minus 2x squared plus 3x minus 4 notice there's no two terms missing it starts the third degree second degree first degree and then we just have a number all we do is we write the coefficients so one there's a negative 2 in front of the x squared there's a positive 3 in front of the X and there's a negative 4 just hang it out and with synthetic division what you do is the first term you just drop it right down there's nothing to do and then the idea is we multiply so I'm going to take positive 2 times 1 and then stick that number in the next spot so it says positive 2 times 1 will give us positive 2 and then what we do is we add those numbers together in this column so negative 2 plus 2 is going to give me and then we repeat this process now we take positive 2 multiply it by and that's what we...

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