Evaluate p(x) = 7x⁵ - 9x⁴ - x² at $\displaystyle {x}$= 1 and  $\displaystyle {x}$= 2 to determine if the Intermediate Value Theorem guarantees that a zero exists between the two values.

a) p(1) = Preview Question 6 Part 1 of 3  

b) p(2) = Preview Question 6 Part 2 of 3  

c) Does the Intermediate Value Theorem guarantee that a zero exists between 1 and 2?