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hey guys that mr. B here again bringing another math video this video Im going to show you how to find the equation of a polynomial other than a quadratic so like a cubic or a quartic from a graph so we got a graph here first of all I recognize the shape its a W shape so that means that it must be a quartic so if I look at this thing it should have essentially four roots or four solutions so that means I could have less than that in X intercepts but I must have four roots all together so if I look here I have one at negative three I have another one at negative one and then I have whats called a double root at two so I know its a double root because it comes down and it bounces off the x-axis thats how I know its a double root so what I generally do is I listed my X intercepts for this so my X intercepts are so we just listed them out so negative 3 negative 1 and 2 so from that I want to be able to write my factors so Ill generally write them like this so my factors are this so
