Determine the Number of Possible Positive and Negative Real Zeros $p ( x ) = x ^ { 5 } - 4 x ^ { 4 } - 13 x ^ { 3 } + 70 x ^ { 2 } - 90 x + 36$

Multiple Choice

Determine the number of possible positive and negative real zeros using Descartes' Rule of Signs. $p ( x ) = x ^ { 5 } - 4 x ^ { 4 } - 13 x ^ { 3 } + 70 x ^ { 2 } - 90 x + 36$

A) Positive real: exactly one; Negative real: exactly one
B) Positive real: 2 or 0; Negative real: exactly 2
C) Positive real: 4 or 0; Negative real: exactly one
D) Positive real: exactly 4; Negative real: exactly one
E) Positive real: 4, 2, or 0; Negative real: exactly one