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Multiply a polynomial by a monomial

9th grade (Year 10 in England) · 16 questions · Common Core: HSA.APR.A.1 · England: GCSE Foundation Algebra

Name

Date

Score/ 16

  1. Question 1

    Expand: −2x³(5x² + 6x)

    Answer

  2. Question 2

    Expand: −2x(3x² + 3x − 6)

    Answer

  3. Question 3

    Ava expanded −2x(2x − 8) and got −4x² − 16x. What should the answer be?

    • A. −4x² − 8
    • B. 4x² − 16x
    • C. −4x² + 16x
    • D. −4x² − 16x
  4. Question 4

    Expand: 3x²(−4x² − 4x + 6)

    Answer

  5. Question 5

    Expand: −x(4x² − 3x − 3)

    Answer

  6. Question 6

    Ana expanded −5x(6x − 7) and got −30x² − 35x. What should the answer be?

    • A. −30x² + 35x
    • B. 30x² − 35x
    • C. −30x² − 7
    • D. −30x + 35
  7. Question 7

    Expand: −x³(3x² − 5x + 6)

    Answer

  8. Question 8

    Expand: 5x(4x² + 6x + 5)

    Answer

  9. Question 9

    Liam expanded −5x(3x − 3) and got −15x² − 15x. What should the answer be?

    • A. −15x + 15
    • B. 15x² − 15x
    • C. −15x² − 3
    • D. −15x² + 15x
  10. Question 10

    Expand: −4x²(3x² − 3x − 3)

    Answer

  11. Question 11

    Expand: 5x(x² + 9x − 3)

    Answer

  12. Question 12

    Felix expanded −3x(5x − 8) and got −15x² − 24x. What should the answer be?

    • A. −15x² − 8
    • B. −15x² + 24x
    • C. −15x + 24
    • D. 15x² − 24x
  13. Question 13

    Expand: 3x²(x² + 3x + 1)

    Answer

  14. Question 14

    Expand: −5x(−x² − 2x − 4)

    Answer

  15. Question 15

    Ben expanded −5x(4x − 7) and got −20x² − 35x. What should the answer be?

    • A. −20x² − 35x
    • B. −20x² + 35x
    • C. −20x² − 7
    • D. 20x² − 35x
  16. Question 16

    Expand: −x²(−2x² − 5x + 2)

    Answer

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Answer key: Multiply a polynomial by a monomial

  1. 1. -10x^5-12x^4

  2. 2. -6x^3-6x^2+12x

  3. 3. C. −4x² + 16x

  4. 4. -12x^4-12x^3+18x^2

  5. 5. -4x^3+3x^2+3x

  6. 6. A. −30x² + 35x

  7. 7. -3x^5+5x^4-6x^3

  8. 8. 20x^3+30x^2+25x

  9. 9. D. −15x² + 15x

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

  11. 11. 5x^3+45x^2-15x

  12. 12. B. −15x² + 24x

  13. 13. 3x^4+9x^3+3x^2

  14. 14. 5x^3+10x^2+20x

  15. 15. B. −20x² + 35x

  16. 16. 2x^4+5x^3-2x^2