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imagine that y equals f of X represents a polynomial function a and B are two real numbers such that f of a is less than zero and F of B is greater than 0 the function the function has at least one real zero between a and B that is the location principle lets use the location principle to determine the integer values of X between which follow the real zeros of the following function f of X is equal to X to the third plus x squared plus X minus 2 here Ive created a table for X values and for f of X values were going to test all of these X values from negative 4 to positive 4 and put them into the equation to find our f of X values here weve done the first one when X is negative 4 f of negative 4 is equal to negative 4 to the third plus negative 4 squared plus negative 4 minus 2 or simply negative 54 we do this for all of them until we have all of our Xs and F of Xs so we have negative 4 negative 50 4 negative 3 negative 23 negative 2 negative 8 and so on all the way to the bottom
