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this video I want to show you how to solve a polynomial inequality using a table so the idea is that we are going to take a polynomial like this and its an inequality because we want to know where it is less than zero well I want to break this into its factors and figure out whether its either greater than 0 or less than 0 next each of the zeros so lets get started the very first thing that you would want to do with polynomial like this is of course break it down Ive already done this earlier so Ill go ahead and list at all of the factors if youre unfamiliar with the factoring process for polynomials check out some of my other videos there we go so I have X minus 3 multiplied by X plus 2 multiplied by X plus 5 its all less than 0 now be very careful do not take each of these factors and set them less than 0 thats not how you want to do this instead lets figure out where each of these factors is equal to 0 lets see so the first factor would equal 0 when x equals 3 the second