If (x-2) is a factor of x square +3ax - 2a, then the value of a is
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Given,
( x - 2 ) is a factor of x² + 3ax - 2a
To find,
The value of a.
Solution,
If ( x - 2 ) is a factor of x² + 3ax - 2a then x = 2 should satisfy the equation.
x² + 3ax - 2a = 0
Substituting the value of x as 2 we get,
⇒ (2)² + 3a(2) - 2a = 0
⇒ 4 + 6a - 2a = 0
⇒ 4 + 4a = 0.
4 from Left Hand Side of the equation would shift to Right Hand Side of the equation and its sign would change from + 4 to -4.
⇒ 4a = -4
⇒ a = -1
Hence, a = -1 for which ( x - 2 ) is a factor of x² + 3ax - 2a.
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