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The binomial theorem Quiz: printable

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The binomial theorem Quiz

Name: ______________________   Date: __________   Score: ____ / 10

10 questions. Calculator allowed. Show your working. steplyclass.com/algebra-2/the-binomial-theorem/quiz/

  1. 1

    Expand (x + 1)3

    Answer: ____________________

  2. 2

    Expand (x + 2)3

    Answer: ____________________

  3. 3

    Expand (x โˆ’ 1)3

    Answer: ____________________

  4. 4

    Expand (x + 2)4

    Answer: ____________________

  5. 5

    Expand (x โˆ’ 1)5

    Answer: ____________________

  6. 6

    Expand (x โˆ’ 3)4

    Answer: ____________________

  7. 7

    Expand (x โˆ’ 2)4

    Answer: ____________________

  8. 8

    Expand (2x โˆ’ 1)4

    Answer: ____________________

  9. 9

    Expand (x + 1)6

    Answer: ____________________

  10. 10

    Expand (3x โˆ’ 1)3

    Answer: ____________________

Answer key

  1. x3 + 3x2 + 3x + 1
  2. x3 + 6x2 + 12x + 8
  3. x3 โˆ’ 3x2 + 3x โˆ’ 1
  4. x4 + 8x3 + 24x2 + 32x + 16
  5. x5 โˆ’ 5x4 + 10x3 โˆ’ 10x2 + 5x โˆ’ 1
  6. x4 โˆ’ 12x3 + 54x2 โˆ’ 108x + 81
  7. x4 โˆ’ 8x3 + 24x2 โˆ’ 32x + 16
  8. 16x4 โˆ’ 32x3 + 24x2 โˆ’ 8x + 1
  9. x6 + 6x5 + 15x4 + 20x3 + 15x2 + 6x + 1
  10. 27x3 โˆ’ 27x2 + 9x โˆ’ 1

Every answer solved step by step: steplyclass.com/algebra-2/the-binomial-theorem/quiz/answers/