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If x^2+m x+n is an integer for all integral values of x , then which of the following is/are correct? 1. m must be an integer 2. n must be an integer Select the correct answer using the code given below:

Options

  1. A1 only
  2. B2 only
  3. CBoth 1 and 2
  4. DNeither 1 nor 2

Correct answer

C. Both 1 and 2

Step-by-step solution

Let n be an integer and n=0 aligned & & x^2+m x & =0 & & x(x+m) & =0 & & x & =0, x=-m aligned Since n is integer, therefore m is also integer.

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