SOLUTION: Determine all rational zeros. P(x)= 4x^3 + 15x + 36

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Any rational zero can be found through this equation

where p and q are the factors of the last and first coefficients


So let's list the factors of 36 (the last coefficient):



Now let's list the factors of 4 (the first coefficient):



Now let's divide each factor of the last coefficient by each factor of the first coefficient









Now simplify

These are all the distinct rational zeros of the function that could occur