Question

X+1 is a factor of (ii) x4 - a²x² + 3x - a then find the value of a​

Answer 1

Answer:

- 2

Step-by-step explanation:

Given : (x + a) is a factor of f(x) = x⁴ - a²x² + 3x - 6

So, x + a = 0

x = - a

And f(- a) = 0

Therefore,

f(- a) = (- a)⁴ - a²(- a)² + 3(- a) - 6

= a⁴ - a²(a²) - 3a - 6

= a⁴ - a⁴ - 3a - 6

0 = - 3a - 6

3a = - 6

a = - 2