a. List all the possible rational zeros using the Rational Zeros Theorem.
b. Use Descartes' Rule of Signs to determine the number of positive real zeros and negative real zeros.
c. Use synthetic division to find the rational zeros.
d. Use the quadratic formula or square root property as needed.
e. List all the zeros and show the complete factorization of P(x).
P(x) = 2x6-3x5-13x4+29x3-27x2+32x-12