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MAT-152 2.3 Long Division

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everybody Half Point Creek how we use to find the factory in theorem long division how to divide cubed minus 1 divided by -1 or maybe it looks like this these are both saying the same thing interact dividing which is X cubed minus 1 when you are dividing a polynomial for every variable even though there is walk-in clinic Square so we're going to ride in all of our zero coefficient that is and where we begin and what and the answer is so when I write that I don't want my x squared over here I'm at my x squared above the x squared term where I begin writing and now I multiply back I know a x x Kushina X cubed negative x squared Things Remembered as well name of the game right here if I'm here now days to cancel each other out 0 + 1 will get me and then I have to bring this guy down here as well plus 0 x I hope the process of long division binomial and bring it down so now what gets me at Square while the answer is I put that back positive above my ex I know I x x x x x squared and x x -1 gets me negative now again our goal here is to get to minus negative positive 0 + 1 is 1 Anna Anna this guy doing the party get negative one down there and now what the answer is 1 * 1 * -1 will get me and now I can't sign remainder of cubed minus 1 divided by 8 squared plus X plus one however we still need the original domain not equal one and what's more interesting about that and my goal for you to take away from video but we understand now understand the factors of 1R X - 1 + x - 1 divided into this without a remainder another Factor is going to be what was Black what I result was going to be outside x + x + y and what we think we can say 0 1 0 a list of baby not numbers that multiply to 1 and add to 1 the quadratic formula or if you look at a graph what the problem is doing all the way up here and also have no root this is our only hero of the an X cubed minus 1 or we can just kind of box that alright let's go are any how to get to how to refresh your long division abilities because sometimes it doesn't always work out in order to find the zeros like we just did alright so we're giving this to you I'm calling Forest historic you squared plus 3x - 2 divided by x squared plus 2X minus 3 and what we're going to do if we're going to have x squared plus 2X 3 nights at every variable to rewrite a polynomial 3 x -2 okay great now are we exactly are we still just look up get me directions to the four and now that I know that I take that to a squared my X back squared times x squared squared times 2x is going to get me 4 x 2 squared x -3 it's going to get me squared anything interesting to happen in order for the negative now now we have negative 1 squared and remember to give this guy Buddyfight we have to bring down a term all right now we do the same where is Prime's what you're you put them corresponding term in what's it called call the division bar on pickaxe and the conference line up in your own work okay I know but I know how to multiply I'm going to do you forgot something going on okay so the amount of times you have here invited with Matt what you are dividing by so we had 3 terms need to always have three terms here as well if you need to match the number one rated x x x 1 x 2 x gets me positive T-Rex and 1 * -3 gets me and now in order for anything to cancel out in order for interesting stuff to happen negative and positive now these will cancelled I will get 3x - 2 x 1/2 or just ask everyone 4 x cubed minus 5x squared rehab over X cubed plus 2X minus 3 is equal to what here so it's equal to 2x squared one we also have a remainder what and here's how we take care of that reminder the Xbox One over what we chose to divide by which is x squared plus 2X minus 3 and that is all what factors are here because we had a remainder it's a remainder is 2000

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MAT-152 2.3 Long Division

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