Question

Find the value of a if (x-a)is a factor of x4-a2+x+3x-a

Answer 1

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

Answer 2

You can find the value using remainder theorem.

REMAINDER THEOREM: When (x-a) is a factor of x^4-a^2+4x-a, then, if you substitute x with +a... it will result in a zero....

a^4-a^2+4a-a=0

a^3-a+3=0

Now use cubic equations formula to get a value.