CHAPTER 15 REVIEW EXERCISES

CONCEPT CHECK EXERCISES

Determine each of the following as being either true or false. If it is false, explain why.

  1. If 3x2 + 5x − 8 is divided by x − 2 ,  the remainder is 12.

  2. Using synthetic division to divide 2x3 − 3x2 − 23x + 12 by x + 3 ,  the bottom row of numbers is 2  − 9 − 40 . 

  3. Without solving, it can be determined that 1/8 is a possible rational root of the equation 4x4 − 3x3 + 5x2 − x + 8 = 0 . 

  4. Without solving, it can be determined that there is no more than one possible negative root of the equation x4 − 3x2 + x + 1 = 0 . 

PRACTICE AND APPLICATIONS

In Exercises 5–8, find the remainder of the indicated division by the remainder theorem.

  1. (2x3 − 4x2 − x + 7) ÷ (x − 1)

  2. (x3 − 2x2 + 9) ÷ (x + 2)

  3. (3n3

Get Basic Technical Mathematics, 11th Edition now with the O’Reilly learning platform.

O’Reilly members experience books, live events, courses curated by job role, and more from O’Reilly and nearly 200 top publishers.

Start your free trial