Question

If k is an integer and r = k2 + 3k + 9, which of the following statements about r must be true for all values of k?

A. r is even
B. r is divided by 3
C. r is the square of an integer
D. None

Answer 1

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Answer:

D. None

Explanation:

If one of these is true for all values of k, we can see it for k=1.

r = 1² +3·1 +9 = 13

This value is not even, not divisible by 3, and not the square of an integer.

None of the offered statements about r is true.