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Can you identify all possible roots for an equation?

  1. Which of the following is a possible root of P(x) = 3x3 − 2x + 2?
    1. 7/8
    2. 3
    3. 3/2
    4. −1/3

    Answer: d. −1/3

  2. Which of the following is a possible root of P(x) = 6x4 + 3x + 4?
    1. 6
    2. −2/3
    3. 3/4
    4. −3/2

    Answer: b. −2/3

  3. Which of the following is NOT a possible root of P(x) = 6x4 + 3x + 4?
    1. −2
    2. 1/2
    3. 1/3
    4. 3

    Answer: d. 3

  4. Which of the following is NOT a possible root of P(x) = 3x3 − 2x + 2?
    1. −3/2
    2. −2
    3. 1/3
    4. 2/3

    Answer: a. −3/2

  5. Which of the following is a possible root of P(x) = 10x6 + 4?
    1. 1/10
    2. 2/3
    3. 3
    4. 1/3

    Answer: a. 1/10

  6. Which of the following is a possible root of P(x) = 8x5 + x2 + 9?
    1. 1/8
    2. 1/3
    3. 1/16
    4. −8/3

    Answer: a. 1/8

  7. Which of the following is a possible root of P(x) = 3x3 − 2x + 2?
    1. 3/2
    2. 7/8
    3. −1/3
    4. 3

    Answer: c. −1/3

  8. Which of the following is NOT a possible root of P(x) = 8x5 + x2 + 9?
    1. −2
    2. −9
    3. 3
    4. 9/8

    Answer: a. −2

  9. Which of the following is NOT a possible root of P(x) = 10x6 + 4?
    1. 4
    2. 4/5
    3. −5/2
    4. 2/5

    Answer: c. −5/2

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