Use Synthetic Division to Find Upper and Lower Bounds

Question

Use Synthetic Division to Identify bounds of the real zeros. Find Upper bound and he greatest lower bound guaranteed by the Upper and lower Bounds of Zero Theorem.

H(x)=3x^3-x^2+108x-36

Answer 1

only one real zero, x=1/3

divide x-1/3 into the cubic to get

3x^2+108 = 0

x^2 =-36

x = + or - 6i

zeroes are 1/3, 6i, and -6i