Prove that (2*a^2 + 7a + 3)/(a + 3) is an odd number for any positive integer number, a.
We see that the numerator is a quadratic, so we factorise it to obtain:
(2a + 1)(a + 3)/(a + 3) = 2a + 1
Since a is a positive integer, we know that 2*a + 1 will always be an odd number.
NM
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