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in this video were going to focus on descartes rule of signs and with his rule we can get an idea of the zeros of a polynomial function for example how many positive zeros do we have or negative zeros or even imaginary solutions so lets look at an example lets say that f of x is equal to x cubed minus 2x squared minus x plus two and lets make a table so were gonna have the positive zeros thats the positive real zeros the negative real zeros the imaginary zeros and also the total now notice that we have a polynomial with a degree of three so the total number of zeros should be three now to determine the possible number of positive real zeros look at the sign changes for f of x so notice that it changed from positive to negative so thats one change and then from negative to negative thats no change and from negative to positive thats another change so theres two changes now ing to descartes rule of signs the number of positive real zeros is either equal to the number of sign ch
