Question

please answer this question​

Answer 1

Answer:

I HOPE ITS CORRECT ANSWER AND HELPFUL

Step-by-step explanation:

let (f) x= x⁴-a²x²+3x-a

(x+a) is factor of f(x)

f(-a)= 0

x³-a²x²+ 3x- a

Answer 2

Question:

Find the value of 'a' if (x + a) is a factor of the polynomial p(x) = x⁴ - a²x² + 3x - a

Answer:

a = 0

Step-by-step explanation:

Given :

(x + a) is a factor of the polynomial p(x) = x⁴ - a²x² + 3x - a

To find :

the value of a

Solution :

(x + a) is a factor

⇒ x + a = 0

⇒ x = -a

Put x = -a, then

p(-a) = 0

(-a)⁴ - a²(-a)² + 3(-a) - a = 0

a⁴ - a²(a²) - 3a - a = 0

a⁴ - a⁴ - 4a = 0

 -4a = 0

  a = 0/-4

  a = 0

Therefore, the value of a is 0.