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Adding and Subtracting Polynomials: Exercises with Solutions, Study notes of Algebra

Samar State University (SSU)Algebra

Adding and Subtracting Polynomials. Perform the operations. 1. (12y2 + 17y - 4) + (9y2 - 13y + 3) = 2. (2x3 + 7x2 + x) + (2x2 - 4x - 12) =.

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2021/2022

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Adding and Subtracting Polynomials
Perform the operations.
1. (12y2 + 17y - 4) + (9y2 - 13y + 3) =
2. (2x3 + 7x2 + x) + (2x2 - 4x - 12) =
3. (-3m2 + m) + (4m2 + 6m) =
4. (7z3 + 4z - 1) + (2z2 - 6z + 2) =
5. (3a2 + 2a - 2) - (a2 - 3a + 7) =
6. (5x2 - 2x - 1) - (3x2 - 5x + 7) =
7. -(3z2 + 4z) - (6z2 - 2) =
8. (6x3 - 4x2 + x - 9) - (3x2 + 7x + 3) =
9. (2x2 + 1) + (x2 - 2x + 1) =
10. (-s2 - 3) - (2s2 + 10s) =
11. (5 - 9a3) + (4a2 + 6a - 3) =
12. (3x2 - x) + 5x3 + (-4x3 + x2 - 8) =
13. -10(u + v) + 8(u - 1) - 3(u + 6) =
14. 7x -[2(x2 - z) + 4x2 - 7z] + 6z2 =
15. Subtract t4 - 3t2 + 7 from 5t3 - 9.
16. Subtract y5 - y4 from y2 + 3y4 .
17. Add 4(m2 + 2) to 3m2 + 7m.
18. 3(x2 - 2x + 3) - 4(4x + 1) - (3x2 - 2x) =
19. (.5x2 + 4.25x - .9) - .5(x2 + 7x - 3) =
20. .23(4x2 + 9x - 4) + .9(.04x2 + 3x - 7) =
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Adding and Subtracting Polynomials

Perform the operations.

  1. (12y^2 + 17y - 4) + (9y^2 - 13y + 3) =
  2. (2x^3 + 7x2 + x) + (2x^2 - 4x - 12) =
  3. (-3m^2 + m) + (4m^2 + 6m) =
  4. (7z^3 + 4z - 1) + (2z^2 - 6z + 2) =
  5. (3a^2 + 2a - 2) - (a^2 - 3a + 7) =
  6. (5x^2 - 2x - 1) - (3x^2 - 5x + 7) =
  7. -(3z^2 + 4z) - (6z^2 - 2) =
  8. (6x^3 - 4x^2 + x - 9) - (3x^2 + 7x + 3) =
  9. (2x^2 + 1) + (x^2 - 2x + 1) =
  10. (-s^2 - 3) - (2s^2 + 10s) =
  11. (5 - 9a^3 ) + (4a^2 + 6a - 3) =
  12. (3x^2 - x) + 5x^3 + (-4x^3 + x^2 - 8) =
  13. -10(u + v) + 8(u - 1) - 3(u + 6) =
  14. 7x -[2(x^2 - z) + 4x^2 - 7z] + 6z^2 =
  15. Subtract t^4 - 3t^2 + 7 from 5t^3 - 9.
  16. Subtract y^5 - y^4 from y^2 + 3y^4.
  17. Add 4(m^2 + 2) to 3m^2 + 7m.
  18. 3(x^2 - 2x + 3) - 4(4x + 1) - (3x^2 - 2x) =
  19. (.5x^2 + 4.25x - .9) - .5(x^2 + 7x - 3) =
  20. .23(4x^2 + 9x - 4) + .9(.04x^2 + 3x - 7) =

Solutions

    1. 21y^2 + 4y -
    1. 2x^3 + 9x^2 - 3x -
    1. 9z^2 - 2z + 3. m^2 + 7m
    1. 2a^2 + 5a -
    1. 2x^2 + 3x -
    1. -9z2 - 4z +
    1. 6x^3 - 7x^2 - 6x -
    1. 3x^2 - 2x +
    1. -3s^2 - 10s -
    1. -9a^3 + 4a^2 + 6a +
    1. x^3 + 4x^2 - x -
    1. -5u - 10v -
  • 15 -t^4 + 5t^3 + 3t^2 - 14. -6x^2 + 7x + 6z^2 + 9z
    1. y^2 + 2y^4 - y
    1. 7m^2 + 7m +
    1. -20x +
    1. .75x + 2.
    1. .956x^2 + 4.77x - 7.