JOIN NOW

Mathematics

x4 + 7x2 + 16 can be factorized as:

  1. (x2 + x + 4)(x2 - x + 4)

  2. (x2 + x - 4)(x2 - x + 4)

  3. (x2 - x - 4)(x2 + x + 4)

  4. none of these

Factorisation

1 Like

Answer

Given,

⇒ x4 + 7x2 + 16

⇒ x4 + 8x2 - x2 + 16

⇒ x4 + 8x2 + 16 - x2

⇒ (x2)2 + 2(x2)(4) + (4)2 - x2

⇒ (x2 + 4)2 - x2

⇒ (x2 + 4 + x)(x2 + 4 - x)

⇒ (x2 + x + 4)(x2 - x + 4).

Hence, option 1 is correct option.

Answered By

2 Likes

Related Questions