Question

Find the value of a for which (x-1) is a factor of the polynomial ( a²x³-4ax+4a-1).

Answer 1

for x-1 to be a factor x=1 must be a root of the given equation
hence
a^2-4a+4a-1=0
⇒a^2-1=0
⇒a^2=1
⇒a= 1 or -1

Answer 2

=>a^2-4a+4a-1=0
=>a^2-1=0
=>a^2=1
=>a= 1 or -1