Lesson: Upper and Lower Bound Tests for Polynomial Functions Glencoe • Precalculus • Common Core

Mathematics

In this lesson, we will learn how to use upper and lower bound tests to verify if the given interval is the interval that contains all real zeros.

Worksheet

Q1:

Using synthetic division and the upper and lower bound tests, find all real zeros of the function .

Q2:

Hannah is trying to find zeros in the function . She has used synthetic division to find for , , 1, and 3.

Use her results to state an interval in which all real zeros of lie.

Q3:

Consider the function .

William is using synthetic division to help him find real zeros of .

What can he conclude about −5?

What can he conclude about 2?

Find all the real zeros of .

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