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Add, subtract and multiply polynomials

11th grade (Year 12 in England) · 16 questions · Common Core: HSA.APR.A.1

Name

Date

Score/ 16

  1. Question 1

    Expand and simplify: (2x − 1)(x² + 2x + 5)

    Answer

  2. Question 2

    Simplify: (3x² + 5x + 5) + (5x² − 3x − 3)

    Answer

  3. Question 3

    Expand and simplify: (−4x + 2)(x² − 4x − 3)

    Answer

  4. Question 4

    Simplify: (5x² + 4x − 3) + (5x² + 8x)

    Answer

  5. Question 5

    Expand and simplify: (−2x − 4)(x² + 5x − 3)

    Answer

  6. Question 6

    Simplify: (5x² + x − 2) + (−x² + 9x − 6)

    Answer

  7. Question 7

    Expand and simplify: (−4x + 1)(x² − 2x − 6)

    Answer

  8. Question 8

    Simplify: (x² + 8x − 9) + (−x² + x − 8)

    Answer

  9. Question 9

    Expand and simplify: (3x + 1)(x² + 2x + 3)

    Answer

  10. Question 10

    Simplify: (5x² + 6x + 1) − (3x² + 9x + 7)

    Answer

  11. Question 11

    Expand and simplify: (2x − 2)(x² + 5x + 1)

    Answer

  12. Question 12

    Simplify: (3x² − 3x + 1) − (9x − 4)

    Answer

  13. Question 13

    Expand and simplify: (2x − 3)(x² − 4x − 1)

    Answer

  14. Question 14

    Simplify: (5x² − 7x + 5) + (3x² + 5x + 8)

    Answer

  15. Question 15

    Expand and simplify: (−3x − 3)(x² − 2)

    Answer

  16. Question 16

    Simplify: (2x² + 9x + 8) − (x² + 3x + 4)

    Answer

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Answer key: Add, subtract and multiply polynomials

  1. 1. 2x^3+3x^2+8x-5

  2. 2. 8x^2+2x+2

  3. 3. -4x^3+18x^2+4x-6

  4. 4. 10x^2+12x-3

  5. 5. -2x^3-14x^2-14x+12

  6. 6. 4x^2+10x-8

  7. 7. -4x^3+9x^2+22x-6

  8. 8. 9x-17

  9. 9. 3x^3+7x^2+11x+3

  10. 10. 2x^2-3x-6

  11. 11. 2x^3+8x^2-8x-2

  12. 12. 3x^2-12x+5

  13. 13. 2x^3-11x^2+10x+3

  14. 14. 8x^2-2x+13

  15. 15. -3x^3-3x^2+6x+6

  16. 16. x^2+6x+4