If m is an integer, which of the following must be an even integer?
If m is an integer, which of the following must be an even integer?
Answer/Solution
m^2+3m+8
Steps/Work
Check the options by plugging in some values ( Preferably smaller integers like 1 and 2 )
A: m^2-m-1 = -1 { If m = 1 }
B: m^2-4m+6 = 3 { If m = 1 }
C: m^2-5m+5 = 1 { If m = 1 }
D: m^2+3m+8 = 12 { If m = 1 }m^2+3m+8 = 18 { If m = 2 }
E: m^2+2m+10 = 13 { If m = 1 ]
Thus the only possible answer is (D)
A: m^2-m-1 = -1 { If m = 1 }
B: m^2-4m+6 = 3 { If m = 1 }
C: m^2-5m+5 = 1 { If m = 1 }
D: m^2+3m+8 = 12 { If m = 1 }m^2+3m+8 = 18 { If m = 2 }
E: m^2+2m+10 = 13 { If m = 1 ]
Thus the only possible answer is (D)