If x-2 is factor of x²-3ax-2a, then a =
A. 2
B. -2
C. 1
D. -1
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Given: x - 2 is factor of x² + 3ax - 2a
[Mistake in the question]
To find : The value of a .
Solution :
Let f(x) = x² + 3ax - 2a
Since, x - 2 is a factor of f(x) so, f (2) = 0
On Substituting x = 2 in f (x),
f(x) = x² + 3ax - 2a
f(2) = 2² + 3a(2) - 2a
0 = 4 + 6a - 2a
-4 = 4a
a = - 4/4
a = -1
Hence the value of a is - 1.
Among the given options option (D) - 1 is correct.
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