Give a quick stream of consciousness before answering the following question. If x is an odd integer, which of the following is an odd integer?
Options:
(A) 2x+2
(B) x^2
(C) 2x+4x
(D) 1+2x+x^2
(E) 3x-1
Plug in an odd integer; in this case 3
(2*3)+2 = 8 Even
3^2 = 9 Odd
(2*3)+(4*3) = 6 + 12 = 18 Even
1+(2*3)+3^2 = 1+ 6 + 9 = 16 Even
(3*3)-1 = 9 - 1 = 8 Even
The answer: (B).