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Consider the following statements :

  1. $x+3$ is the factor of $x^{3} + 2x^{2} + 3x + 8.$
  2. $x-2$ is the factor of $x^{3} + 2x^{2} + 3x + 8.$

Which of the statements given above is/are $\text{correct}$ ?

  1. Statement (I) is true, Statement (II) is false.
  2. Statement (II) is true, Statement (I) is false.
  3. Both the Statement are true.
  4. Both the Statement are false.
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