If factorization x2 + 2ax-3a2 is divisible by X-1, then the value of a is (a) 1 or - 1 / 3 (b) - 1 or - 1 / 3 (c) 0 (d) 1 or - 1

If factorization x2 + 2ax-3a2 is divisible by X-1, then the value of a is (a) 1 or - 1 / 3 (b) - 1 or - 1 / 3 (c) 0 (d) 1 or - 1

Factorization x2 + 2ax-3a2 can be divisible by X-1
Substitute x = 1 to get
x2+2ax-3a2=0
Namely
1+2a-3a^2=0
Solution
a=-1/3,a=1
Choose a