Chapter 8 Polynomials and Factoring

Chapter 8 Get Ready!

• Skills Handbook, page 786 Finding Factors of Composite Numbers

  List all the factors of each number.

  1. 12
  2. 18
  3. 100
  4. 81
  5. 72
  6. 300
  7. 250
  8. 207

• Lesson 1-7 Simplifying Expressions

  Simplify each expression.

  9. 3 x 2 − 4 x − 2 x 2 − 5 x 3 , x squared , minus 4 x minus 2 , x squared , minus 5 x
  10. − 2 d + 7 + 5 d + 8 negative 2 d plus 7 plus 5 d plus 8
  11. 3 ( 2 r + 4 r 2 − 7 r + 4 r 2 ) 3 open 2 r plus 4 , r squared , minus 7 r plus 4 , r squared , close
  12. − 2 ( m + 1 ) + 9 ( 4 m − 3 ) negative 2 open m plus 1 close plus 9 open 4 m minus 3 close
  13. 6 ( a − 3 a 2 − 2 a − 3 a 2 ) 6 open eh minus 3 , eh squared , minus 2 eh minus 3 , eh squared , close
  14. s − 4 − ( s 2 − 2 ) − 8 s s minus 4 minus open , s squared , minus 2 close minus 8 s

• Lessons 7-3 and 7-4 Multiplying Expressions With Exponents

  Simplify each expression.

  15. ( 5 x ) 2 open , 5 x , close squared
  16. ( − 3 v 2 ) ( − 3 v ) open negative 3 , v squared , close open negative 3 v close
  17. ( 4 c 2 ) 3 open 4 , c squared , close cubed
  18. ( 8 m 2 ) ( 7 m 5 ) open 8 , m squared , close open 7 , m to the fifth , close
  19. ( 9 b 3 ) 2 open 9 , b cubed , close squared
  20. ( − 6 p q ) 2 open negative 6 p q close squared
  21. 7 ( n 2 ) 2 7 . open , n squared , close squared
  22. ( − 5 t 4 ) 3 open negative 5 , t to the fourth , close cubed

• Lesson 7-5 Dividing Expressions With Exponents

  Simplify each expression.

  23. p 4 q 9 p 2 q 6 fraction p to the fourth , q to the ninth , over p squared , q to the sixth end fraction
  24. ( 5 x ) 2 5 x fraction open , 5 x , close squared , over 5 x end fraction
  25. − 3 n ( 6 n 4 ) ( 4 n 2 ) fraction negative 3 n , over open , 6 , n to the fourth , close . open , 4 , n squared , close end fraction
  26. ( 2 y ) ( 9 y 4 ) 6 y 3 fraction open , 2 y , close . open , 9 , y to the fourth , close , over 6 , y cubed end fraction

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