For
[tex] P(x)=3x^3-2x^2+5x-2[/tex]
all possible rational zeroes are all the possible factors of the constant term -2 express over coefficient of the term with the highest degree of the polynomial which is 3
These are
[tex]\frac{-1}{3}, \frac{1}{3},\frac{-2}{3}, \frac{2}{3}[/tex]
For
[tex] R(x)=12x^3-17x^2-27x-30[/tex]
all possible rational zeroes are all the possible factors of the constant term -30 express over coefficient of the term with the highest degree of the polynomial which is 12
These are
[tex]\frac{-1}{12}, \frac{1}{12},\frac{-1}{6}, \frac{1}{6},\frac{-1}{4}, \frac{1}{4},\frac{-5}{12}, \frac{5}{12},\frac{-1}{2}, \frac{1}{2},\frac{-5}{6}, \frac{5}{6},\frac{-5}{4}, \frac{5}{4},\frac{-5}{2}, \frac{5}{2}[/tex]
