Question

find the value of 'a' if ( x+ a) is a factor of x^4-a^2x^2+3x-a

Answer 1

By remainder theorem,
x + a = 0
X = - a
-a ^4 - (a^ 2)(- a^ 2)+ 3(-a) -a = 0
- 4a = 0
a = 0
Hope it will help you