Question

The expresson x4 + 7x2 + 16 can be factorized as-
(A) (x2 + x + 1) (x2 + x + 16)
(B) (x2 + x + 1) (x2 – X + 16)
(C) (x2 + x – 4) (x2 – X + 4)
(D) (x2 + x - 4) (x2 – X – 4)​

Answer 1

Answer:

(D)correct answer

(D) (x2 + x - 4) (x2 – X – 4)

Answer 2

Correct Option: C

The given expression x4 + 7x2 + 16 = ( x4 + 8x2 + 16 ) - x2

= ( x4 + 2 * 4 * x2 + 42 ) - x2

= ( x2 + 4 )2 - x2

= ( x2 + 4 + x ) ( x2 + 4 - x )

Hence , x4 + 7x2 + 16 = ( x2 + x + 4 ) ( x2 - x + 4 ).

Option C is the correct answer.