Use Descartes rule of signs to determine the possibilities f

Use Descartes\' rule of signs to determine the possibilities for the roots to the polynomial equation. 3x\"-8x2 +4=0 Choose a possible arrangement of roots to the polynomial. 0 A. 1 positive real root, 1 negative real root, 0 imaginary roots O B. 1 positive real root, 1 negative real root, 2 imaginary roots O C. 1 positive real roots, 2 negative real roots, 1 imaginary root 0 D. 2 positive real roots, 2 negative real roots, o imaginary roots

Solution

(C) Here checking by changing sign the only possibility is

1 positive root, 1 negative root, and 2 complex roits