Let Px 2x3 5x2 4x 3 a List all possible rational zeros of

Let P(x) = 2x³ 5x² 4x + 3

(a) List all possible rational zeros of P. (Enter your answers as a comma-separated list.)

Solution

2x³ 5x² 4x + 3 = (x - 3)(2x² + x - 1)

= (x-3)(x + 1)(x - 0.5)

all rational roots are 3, -1 , 1/2