Question on: JAMB Mathematics - 1992

If the binary operation (\ast) is defined by m (\ast) n = mn + m + n for any real number m and n, find the identity of the elements under this operation

A
e = 1
B
e = -1
C
e = -2
D
e = 0
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Correct Option: B

m (\ast) n = mn + m + n

m (\ast) e = me + m + e, e (\ast) m = e

∴ me + m + e, m(e + 1)e - e = 0

e + 1 = 0

∴ e = -1

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