Question

Find the value of a if x+a is a factor of x^4-a^2x^2+ 3x-a.​

Answer 1

Answer: a = 0

Step-by-step explanation:

Let f(x) = x4-a2x2+3x-a

(x+a) is a factor of f (x)

f (-a) = 0

(-a)4-a2(-a)2+3(-a)-a = 0

a4-a4-3a-a = 0

-4a = 0

a = 0