fi rst outer inner last 254 4 48 Chapter 4 Polynomials and Exponents c an

Fi rst outer inner last 254 4 48 chapter 4

This preview shows page 48 - 50 out of 52 pages.

fi rst, outer, inner, last 254 (4-48) Chapter 4 Polynomials and Exponents c. an equation with no solution d. a polynomial with fi ve terms b 7. dividend a. a in a b b. b in a b c. the result of a b d. what a bank pays on deposits a 8. divisor a. a in a b b. b in a b c. the result of a b d. two visors b 9. quotient a. a in a b b. b in a b c. a b d. the divisor plus the remainder c 10. binomial a. a polynomial with two terms b. any two numbers c. the two coordinates in an ordered pair d. an equation with two variables a 11. integral exponent a. an exponent that is an integer b. a positive exponent c. a rational exponent d. a fractional exponent a 12. scienti fi c notation a. the notation of rational exponents b. the notation of algebra c. a notation for expressing large or small numbers with powers of 10 d. radical notation c 4.1 Perform the indicated operations. 1. (2 w 6) (3 w 4) 5 w 2 2. (1 3 y ) (4 y 6) y 5 3. ( x 2 2 x 5) ( x 2 4 x 9) x 4 4. (3 5 x x 2 ) ( x 2 7 x 8) 5 5. (5 3 w w 2 ) ( w 2 4 w 9) 4 6. ( 2 t 2 3 t 4) ( t 2 7 t 2) 2 7. (4 3 m m 2 ) ( m 2 6 m 5) 1 8. ( n 3 n 2 9) ( n 4 n 3 5) n 4 4.2 Perform the indicated operations. 9. 5 x 2 ( 10 x 9 ) 10. 3 h 3 t 2 2 h 2 t 5 11. ( 11 a 7 ) 2 12. (12 b 3 ) 2 144 13. x 5( x 3) 14. x 4( x 9) x 15 3 x 36 15. 5 x 3( x 2 5 x 4) 16. 5 4 x 2 ( x 5) 17. 3 m 2 (5 m 3 m 2) 18. 4 a 4 ( a 2 2 a 4) E N R I C H I N G Y O U R M A T H E M A T I C A L W O R D P O W E R R E V I E W E X E R C I S E S s t u d y t i p Note how the review exercises are arranged according to the sections in this chapter.If you are having trouble with a certain type of problem, refer back to the appropriate section for ex- amples and explanations.
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19. ( x 5)( x 2 2 x 10) 20. ( x 2)( x 2 2 x 4) 21. ( x 2 2 x 4)(3 x 2) 22. (5 x 3)( x 2 5 x 4) 4.3 Perform the indicated operations. 23. ( q 6)( q 8) 24. ( w 5)( w 12) w 60 25. (2 t 3)( t 9) 26. (5 r 1)(5 r 2) r 2 27. (4 y 3)(5 y 2) 28. (11 y 1)( y 2) 29. (3 x 2 5)(2 x 2 1) 30. ( x 3 7)(2 x 3 7) 4.4 Perform the indicated operations. Try to write only the answers. 31. ( z 7)( z 7) 32. ( a 4)( a 4) z 49 a 16 33. ( y 7) 2 34. ( a 5) 2 y 14 y 49 a 10 a 25 35. ( w 3) 2 36. ( a 6) 2 w 6 w 9 a 12 a 36 37. ( x 2 3)( x 2 3) 38. (2 b 2 1)(2 b 2 1) 39. (3 a 1) 2 40. (1 3 c ) 2 9 a 6 a 1 1 6 c 41. (4 y ) 2 42. (9 t ) 2 16 y 81 18 t 4.5 In Exercises 43 54, fi nd each quotient. 43. 10 x 5 (2 x 3 ) 5 x 44. 6 x 4 y 2 ( 2 x 2 y 2 ) 3 x 45. 6 3 a a 5 b 3 b 7 c 9 c 6 6 b a 46. 3 9 h h 7 t 5 6 t r 9 2 r 2 h t 47. 3 x 3 9 3 48. 7 1 y y 7 49. 9 x 3 6 3 x x 2 3 x x 2 x 1 50. 51. ( a 1) (1 a ) 1 52. ( t 3) (3 t ) 1 53. ( m 4 16) ( m 2) m 2 m 4 m 8 54. ( x 4 1) ( x 1) x x x 1 Find the quotient and remainder. 55. (3 m 3 9 m 2 18 m ) (3 m ) m 56. (8 x 3 4 x 2 18 x ) (2 x ) 9, 0 57. ( b 2 3 b 5) ( b 2) b 58. ( r 2 5 r 9) ( r 3) r 2, 3 59. (4 x 2 9) (2 x 1) 2 x 1, 60. (9 y 3 2 y ) (3 y 2) 2, 4 8 x 3 y 5 4 x 2 y 4 2 xy 3 2 xy 2 Chapter 4 Review Exercises (4-49) 255 61. ( x 3 x 2 11 x 10) ( x 1) 2 x 9, 1 62. ( y 3 9 y 2 3 y 6) ( y 1) 10 19 Write each expression in the form quotient re d m iv a i i s n o d r er . 63. x 2 x 3 64. x 3 x 4 2 x 6 3 3 x 12 4 65. 1 2 x x 66. 5 3 x x 2 1 2 x 5 15 x 67. x x 2 1 3 68. x 2 x 3 x 3 1 x 1 x 2 1 x 6 x 19 3 69.
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