Example 1
How many positive and negative real zeros can f(x) = x7 − 4x5 − x2 + 4 have?
Example 2
How many positive and negative real zeros can f(x) = x9 + 4x3 − x2 + 2x + 6 have?
Example 3
How many positive and negative real zeros can f(x) = -x7+ 4x4− x3 + x2 + 5x – 5 have?
Example 4
Use synthetic division to check if -3 is an upper bound of y = 4x7 + 8x4 − 12x3 + 4x2 + 2x – 1.
Example 5
Use synthetic division to check if -3 is a lower bound and 3 an upper bound of y = 4x7 + 8x4 − 12x3 + 4x2 + 2x – 1.