If m and n are integers is 6m2 34n 18 an even integerSoluti

If m and n are integers, is 6m2 + 34n 18 an even integer?

Solution

Answer:

Suppose m and n are integers.

Consider 6m² + 34n 18

the above can be expressed as follows

2(3m² + 17n 9)= 2k say where k=3m² + 17n 9 which is an integer. Since m and n are integers

Hence 2k is always an integer. Since k is an integer

Therefore, 6m² + 34n 18 is an even integer.