Question

List all possible rational zeros for each polynomial function.

Answer 1

For

$P(x)=3x^3-2x^2+5x-2$

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

$\frac{-1}{3}, \frac{1}{3},\frac{-2}{3}, \frac{2}{3}$

For

$R(x)=12x^3-17x^2-27x-30$

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

$\frac{-1}{12}, \frac{1}{12},\frac{-1}{6}, \frac{1}{6},\frac{-1}{4}, \frac{1}{4},\frac{-5}{12}, \frac{5}{12},\frac{-1}{2}, \frac{1}{2},\frac{-5}{6}, \frac{5}{6},\frac{-5}{4}, \frac{5}{4},\frac{-5}{2}, \frac{5}{2}$