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Polynomial functions

12th grade (Year 13 in England) · 16 questions · Common Core: HSA.APR.B.3, HSF.IF.C.7.C

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  1. Question 1

    f(x) = (x + 6)(x)(x + 4). Find all the zeros of f, separated by commas.

    x =

  2. Question 2

    Describe the end behaviour of f(x) = −x⁵ + 3x − 1.

    • A. Up on the left, up on the right
    • B. Down on the left, down on the right
    • C. Down on the left, up on the right
    • D. Up on the left, down on the right

  3. Question 3

    f(x) = −(x − 2)(x + 5)(x + 2). Find all the zeros of f, separated by commas.

    x =

  4. Question 4

    Describe the end behaviour of f(x) = 2x⁴ + 3x − 1.

    • A. Up on the left, up on the right
    • B. Down on the left, down on the right
    • C. Down on the left, up on the right
    • D. Up on the left, down on the right

  5. Question 5

    f(x) = −(x − 5)(x + 6)(x − 2). Find all the zeros of f, separated by commas.

    x =

  6. Question 6

    Describe the end behaviour of f(x) = −x² + 3x − 1.

    • A. Up on the left, up on the right
    • B. Down on the left, down on the right
    • C. Down on the left, up on the right
    • D. Up on the left, down on the right

  7. Question 7

    f(x) = −(x − 5)(x + 1)(x + 6). Find all the zeros of f, separated by commas.

    x =

  8. Question 8

    Describe the end behaviour of f(x) = 2x⁴ + 3x − 1.

    • A. Up on the left, up on the right
    • B. Down on the left, down on the right
    • C. Down on the left, up on the right
    • D. Up on the left, down on the right

  9. Question 9

    f(x) = −(x + 5)(x + 4)(x − 1). Find all the zeros of f, separated by commas.

    x =

  10. Question 10

    Describe the end behaviour of f(x) = 2x⁵ + 3x − 1.

    • A. Up on the left, up on the right
    • B. Down on the left, down on the right
    • C. Down on the left, up on the right
    • D. Up on the left, down on the right

  11. Question 11

    f(x) = −(x − 1)(x − 5)(x + 3). Find all the zeros of f, separated by commas.

    x =

  12. Question 12

    Describe the end behaviour of f(x) = −x³ + 3x − 1.

    • A. Up on the left, up on the right
    • B. Down on the left, down on the right
    • C. Down on the left, up on the right
    • D. Up on the left, down on the right

  13. Question 13

    f(x) = −(x + 4)(x + 5)(x − 5). Find all the zeros of f, separated by commas.

    x =

  14. Question 14

    Describe the end behaviour of f(x) = −3x⁵ + 3x − 1.

    • A. Up on the left, up on the right
    • B. Down on the left, down on the right
    • C. Down on the left, up on the right
    • D. Up on the left, down on the right

  15. Question 15

    f(x) = −(x − 3)(x − 2)(x − 1). Find all the zeros of f, separated by commas.

    x =

  16. Question 16

    Describe the end behaviour of f(x) = x⁴ + 3x − 1.

    • A. Up on the left, up on the right
    • B. Down on the left, down on the right
    • C. Down on the left, up on the right
    • D. Up on the left, down on the right

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  1. x = -6 or x = -4 or x = 0
  2. Up on the left, down on the right
  3. x = -5 or x = -2 or x = 2
  4. Up on the left, up on the right
  5. x = -6 or x = 2 or x = 5
  6. Down on the left, down on the right
  7. x = -6 or x = -1 or x = 5
  8. Up on the left, up on the right
  9. x = -5 or x = -4 or x = 1
  10. Down on the left, up on the right
  11. x = -3 or x = 1 or x = 5
  12. Up on the left, down on the right
  13. x = -5 or x = -4 or x = 5
  14. Up on the left, down on the right
  15. x = 1 or x = 2 or x = 3
  16. Up on the left, up on the right