If x + a is a factor of x 4 - a 2 x 2 +3 x -6 a , then a =

Question

Philoid · Accepted Answer

Let, f (x) = x⁴ -a²x² + 3x - 6a

Since, x + a is divided by f (x) so,

f (-a) = 0

(-a)⁴ - a² (-a)² + 3 (-a) - 6a = 0

- 9a = 0

a = 0