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Divide a polynomial by (x − a)

11th grade (Year 12 in England) · 16 questions · Common Core: HSA.APR.D.6, HSA.APR.B.2 · England: A-level Pure Mathematics

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  1. Question 1

    Divide x³ − 4x² − x + 8 by (x + 1). Type the quotient (ignore the remainder).

    Answer

  2. Question 2

    Divide x³ − x² − 6x + 8 by (x − 2). The remainder is 0. Type the quotient.

    Answer

  3. Question 3

    Divide x³ − 2x² + 2x by (x + 1). Type the quotient (ignore the remainder).

    Answer

  4. Question 4

    Divide x³ + 5x² + 11x + 10 by (x + 2). The remainder is 0. Type the quotient.

    Answer

  5. Question 5

    Divide x³ + 2x² − 13x + 8 by (x − 2). Type the quotient (ignore the remainder).

    Answer

  6. Question 6

    Divide x³ − 9x² + 16x + 16 by (x − 4). The remainder is 0. Type the quotient.

    Answer

  7. Question 7

    Divide x³ − x² + 6x + 3 by (x − 1). Type the quotient (ignore the remainder).

    Answer

  8. Question 8

    Divide x³ + 4x² + 2x − 4 by (x + 2). The remainder is 0. Type the quotient.

    Answer

  9. Question 9

    Divide x³ + 5x² + x + 5 by (x + 1). Type the quotient (ignore the remainder).

    Answer

  10. Question 10

    Divide x³ − x² − 7x − 5 by (x + 1). The remainder is 0. Type the quotient.

    Answer

  11. Question 11

    Divide x³ − x² − 5x − 3 by (x − 2). Type the quotient (ignore the remainder).

    Answer

  12. Question 12

    Divide x³ − x² − 6x − 24 by (x − 4). The remainder is 0. Type the quotient.

    Answer

  13. Question 13

    Divide x³ + 6x² + 10x − 4 by (x + 1). Type the quotient (ignore the remainder).

    Answer

  14. Question 14

    Divide x³ − x² + 5x − 5 by (x − 1). The remainder is 0. Type the quotient.

    Answer

  15. Question 15

    Divide x³ − 3x − 20 by (x − 3). Type the quotient (ignore the remainder).

    Answer

  16. Question 16

    Divide x³ − 3x² + 8x − 6 by (x − 1). The remainder is 0. Type the quotient.

    Answer

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Answer key: Divide a polynomial by (x − a)

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

  2. 2. x^2+x-4

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

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

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

  6. 6. x^2-5x-4

  7. 7. x^2+6

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

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

  10. 10. x^2-2x-5

  11. 11. x^2+x-3

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

  13. 13. x^2+5x+5

  14. 14. x^2+5

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

  16. 16. x^2-2x+6