Answer:
a = 1.
Step-by-step explanation:
By the Factor theorem if (x - 1) is a factor of the polynomial f(x) then f(1) = 0.
So we have:
a^2(1)^3-4a(1)+4a-1 = 0
a^2 - 4a + 4a - 1 = 0
a^2 = 1
a = +/- 1.
Substituting -1 for a
(-1)^21^3-4(-1)1+4*1-1 = 1 + 4 + 4 - 1 = 8 so its can't be -1.
Substituting 1 for a:
(1)^21^3 - 4 + 4 -1 = 0.
