Question

Find the value of a, such that (x+a) is a factor of (x⁴-a²x²+3x-a)??

Answer 1

Answer:

a = 1

Step-by-step explanation:

First we eqiate x+a to 0.

x+a = 0

x= -a

Therefore replace the value of x with -a

x⁴ - a²x² + 3x - a

(-a)⁴ - a²(-a)² + 3(-a) -a

a⁴ - a⁴ - 3a -a

3a -a

2a

Now we equate the above equation to 2a.

x⁴ - a²x² + 3x - a = 2a

2a=2a

a=2/2

a = 1

Hope it helps :))