Chapter 4.5, Problem 2CFU

To determine

To explain: How to use synthetic division to determine which consecutive integers the real zeros of a polynomial function are located.

Explanation of Solution

Given information: How to use synthetic division to determine which consecutive integers the real zeros of a polynomial function are located

Calculation:

Synthetic division allows for you to quickly find $f\left(\text{number}\right)=$ the remainder.

Therefore, if you test a number by synthetic division and the remainder is negative, then you test a consecutive integer and the remainder is negative,

Then the zero is somewhere between those two integers by the location principle.