Question

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

Give suitable explanation

Answer 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