Question

82
Which of the following is correct factorization of x^4 - x²- 6?
(A) (x - 3)?(x’+2)
(B)(x
(C) (x-13)(x+3)(x² + 2)
D) none
​

Answer 1

Answer:

D) None

Step-by-step explanation:

correct ans is : (x^2 + 2)(x^2 - 3)

Answer 2

${x}^{4} - {x}^{2} - 6 \\ {x}^{4} - {3x}^{2} + {2x}^{2} - 6 \\ {x}^{2} ( {x}^{2} - 3) + 2( {x}^{2} - 3) \\ ( {x}^{2} - 3 )( {x}^{2} + 2 ) \\ { \red{ \large{[(x + \sqrt{3} )(x - \sqrt{3} )][ {(x + \sqrt{2} )}^{2} - 2 \sqrt{2} x]}}}$

Hence, None of the options is correct.