Polynomial Advanced Properties  Upper and Lower Bounds  Exercise
3
Apply the Upper and Lower Bounds Theorem and synthetic division to
find the smallest positive integer and the largest negative integer
that are upper and lower bounds for the real zeros of f(x) = 6x^{3}
 4x^{2} + 3x  2. Also, what does the Intermediate
Value Theorem say about the existence of a zero between the two
xvalues you checked? OPTIONAL: Graph f(x) = 6x^{3}  4x^{2}
+ 3x  2 first on a graphing calculator to help in picking
possible bounds. Note that the justification is already given  no
further justification is needed.
STATEMENT 
JUSTIFICATION 
f(x) = 6x^{3}  4x^{2}
+ 3x  2 
Given
Upper and Lower Bounds Theorem
Division Algorithm (Synthetic Division)
Intermediate Value Theorem

