If x² + mx + 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:
A.1 only
B.2 only
C.Both 1 and 2✓ Correct
D.Neither 1 nor 2
Explanation
At x = 0, the expression equals n, so n must be an integer. At x = 1, the expression equals 1 + m + n, which must be an integer. Since n is an integer, m must also be an integer. Both statements are correct.
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