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Is 2 x 5 – 9 x – 6 a polynomial? If not, why not?

Is 2 x 5 – 9 x – 6 a polynomial? If not, why not?. no; negative exponent. Is – 5 x 2 – 6 x + 8 a polynomial ? If not, why not?. yes. Give the degree of 3 x 3 y + 4 xy and identify the type of polynomial by special name. If no special name applies, write “polynomial.”. 4; binomial.

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Is 2 x 5 – 9 x – 6 a polynomial? If not, why not?

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  1. Is 2x5 – 9x–6 a polynomial? If not, why not? no; negative exponent

  2. Is –5x2– 6x + 8 a polynomial? If not, why not? yes

  3. Give the degree of 3x3y + 4xy and identify the type of polynomial by special name. If no special name applies, write “polynomial.” 4; binomial

  4. Give the degree of 6a4b6 and identify the type of polynomial by special name. If no special name applies, write “polynomial.” 10; monomial

  5. Evaluate 19 – 3xwhen x = –9 and y = 6. 46

  6. Evaluate –8x + y2when x = –9 and y = 6. 108

  7. Evaluate 2x2 + xy + y when x = –9 and y = 6. 114

  8. Add (–9x2 + 14) + (7x– 2). –9x2+ 7x + 12

  9. Add (x2+ 5xy – 9) + (x2 – 3xy). 2x2+ 2xy– 9

  10. Add (–6a2– ab + 6b2) + (a2+ 4ab– 11b2). –5a2+ 3ab– 5b2

  11. Add (x2 – y) + (–7x2 + 9y2 – 8y). –6x2 + 9y2 – 9y

  12. Add (14x2 – 9x) + (6x2 – 3x + 28). 20x2 – 12x + 28

  13. 458 29 152 m3 + m2 – m – 29 38 15 Add ( m3 + 6m2 – m + ) + ( m2 – m – 6). 32 45

  14. Add (5.8x + 2.4y – 5.7) + (–8.2y+ 12.4). 5.8x– 5.8y + 6.7

  15. Find the opposite (additive inverse) of –7x+ 8. 7x – 8

  16. Find the opposite (additive inverse) of 21x– 9. –21x+ 9

  17. Find the opposite (additive inverse) of 10a – 6b + 14. –10a + 6b – 14

  18. Subtract (–9x– 7) – 15. –9x– 22

  19. Subtract 6x– (5x+ 18). x– 18

  20. Subtract (2y– 12) – y. y– 12

  21. Subtract (–8x2 – 2x + 9) – (5x2 + 16x – 3). –13x2 – 18x + 12

  22. Subtract (–4a2 + 3a – 8) – (9a2 – 7). –13a2 + 3a – 1

  23. Multiply –7x5(8x10). –56x15

  24. Multiply 9y(–16y8). –144y9

  25. Multiply 3z8(8z2). 24z10

  26. Multiply –3x2(7x2 – x – 17). –21x4 + 3x3 + 51x2

  27. Multiply 2x4(9x2 – 3x + 5). 18x6 – 6x5+ 10x4

  28. Multiply x(–8x5 + 13x3 + 21). –8x6+ 13x4+ 21x

  29. Multiply –5a2(4a4 – 9a2 + 7). –20a6+ 45a4 – 35a2

  30. Multiply (x + 8)(x – 2). x2 + 6x – 16

  31. Multiply (x – 12)(x – 3). x2– 15x + 36

  32. Multiply (x + 5)(x – 3). x2 + 2x– 15

  33. Multiply (x – 9)(x – 6). x2– 15x + 54

  34. Multiply (x – 10)(x+ 7). x2– 3x– 70

  35. Multiply (6x – 3)(9x – 1). 54x2– 33x+ 3

  36. Multiply (–4x + 6)(2x + 7). –8x2 – 16x + 42

  37. Multiply (8x + 3)(5x – 2). 40x2– x – 6

  38. 12x9y34x6y Divide . 3x3y2

  39. 15x3y85x5y7 Divide . 3x–2y

  40. 96a6b312a9b2 Divide . 8a–3b

  41. 7x5 + 28x47x2 Divide . x3 + 4x2

  42. 84a8 – 28a14a5 Divide . 6a3 – 2a–4

  43. 4x5 – 16x4 + 36x32x3 Divide . 2x2– 8x + 18

  44. Divide . –200x4y4z2– 150x2y6z8+ 25xy2z5 5xy4z –40x3z – 30xy2z7 + 5y–2z4

  45. Neil has four more quarters than dimes in his pocket. If you let d = the number of dimes, how would you represent the number of quarters? d + 4

  46. Jerry’s collection of nickels totals $6.40. Write an equation to find the number of nickels he has in his collection. Do not solve. 5x = 640

  47. Abe has six more quarters than nickels and five times as many dimes as quarters. If he has a total of 141 coins, how many of each coin does he have? 15 nickels, 21 quarters, and 105 dimes

  48. Charity has 42 more pennies than dimes. Hope has seven times as many pennies as dimes. Both of them have the same number of dimes, and together they have $5.46.

  49. Find the number of dimes and pennies each has. Charity: 60 pennies and 18 dimes; Hope: 126 pennies and 18 dimes

  50. Dustan has $1,380. He has three times as many fives as twenties. He has six more than two times as many fifties as twenties. How many of each bill does he have? 24 fives, 8 twenties, and 22 fifties

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