Question

If x + a is a factor of x⁴-a²x²+3x-6a, then a =
A. 0
B. -1
C. 1
D. 2

Answer 1

The required "option A) 0" is correct.

Step-by-step explanation:

Given,

Let (x + a) is a factor of P(x) : $x^4$ - $a^2x^2$ + 3x - 6a

To find, the value of a in the given poynomial.

∵ x + a = 0

⇒ x = - a

Put x = - a in the given polynomial, we get

P(- a) = 0

⇒ $(-a)^4$ - $a^2(-a)^2$ + 3(- a) - 6a = 0

⇒ $a^4$ - $a^4$  - 3a - 6a = 0

⇒ - 3a - 6a = 0

⇒ - 9a = 0

⇒ a = 0

Thus, the required "option A) 0" is correct.

Answer 2

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