1. 4.5 Locating Zeros of a Polynomial Function
Objective: Approximate the real zeros of a polynomial function.

2. The Location Principle:
Suppose y=f(x) represents a polynomial function with real coefficients. If a and b are two numbers with f(a) negative and f(b) positive, the function has at least one real zero between a and b.
See page 237
Ex.1)
Determine between which consecutive integers the real zeros of
f(x)= 12x³ - 20x² - x + 6
are located.

3. Ex.2)
Approximate the real zeros of
f(x)= -3x^4 + 16x³ - 18x² + 5
to the nearest tenth.
Upper Bound:
An integer greater than or equal to the greatest real zero.
Lower Bound:
An integer less than or equal to the least real zero.
Ex.3)
Find the upper and lower bound of the zeros of f(x) = 6x³ - 7x² - 14x + 15