In each of the following polynomials, find the value of `a` if `x+a` is a factor: `x^4-a^2x^2+3x-a`

Explanation

`f(x)=x^4−a^2x^2+3x−a`
If `x+a` is `-a` factor of `f(x)` then `f(−a)=0`
`⇒(−a)^4−a^2(−a)^2+3(−a−a=0`
`⇒a^4−a^4−3a−a=0`
`⇒−4a=0`
`⇒a=0`
`therefore` The value of `a=0`