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.
Students will be able to
Q1:
Using synthetic division and the upper and lower bound tests, find all real zeros of the function π(π₯)=4π₯+π₯β27π₯+18π₯οͺο©ο¨.
Q2:
Hannah is trying to find zeros in the function π(π₯)=6π₯+19π₯β37π₯β62π₯+24οͺο©ο¨. She has used synthetic division to find π(π) for π=β5, β2, 1, and 3.
Use her results to state an interval in which all real zeros of π lie.
Q3:
Consider the function π(π₯)=π₯β4π₯β7π₯+74π₯β104οͺο©ο¨.
James is using synthetic division to help him find real zeros of π.
What can he conclude about β5?
What can he conclude about 2?
Find all the real zeros of π.
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