According To The Rational Root Theorem, The Following Are Potential Roots Of F(X) = 6X4 + 5X3 – 33X2 – 12X + 20. Negative Five-Halves, –2, 1, Ten-Thirds Which Is An Actual Root Of F(X)? Negative Five-Halves –2 1 Ten-Thirds. The theorem states that each rational solution written in lowest terms (that is, p and q are relatively prime), satisfies: To determine which of the given potential roots is an actual root of the polynomial f (x) = 6 x 4 + 5 x 3 − 33 x 2 − 12 x + 20, we will evaluate the polynomial at each of the potential.

The theorem states that each rational solution written in lowest terms (that is, p and q are relatively prime), satisfies: The rational root theorem is a special case (for a single linear. According to the rational root theorem, the following are potential roots of f (x) = 6x4 + 5x3 − 33x2 − 12x + 20: