If x-2 is a factor of x^2+3ax -2a, then a =……………..

Give suitable explanation

If x-2 is a factor of x^2+3ax -2a, then a =……………..

Give suitable explanation

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  1. By using factor theorem, if x-a is a factor of p(x) then p(a)=0
    So p(2) =0
    => 2^2 +3a*2 -2a = 0
    => 4 +6a -2a =0
    => 4 + 4a = 0
    => a = -1

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