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

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.

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Mathematics

x⁴ + 7x² + 16 can be factorized as:
(x² + x + 4)(x² - x + 4)
(x² + x - 4)(x² - x + 4)
(x² - x - 4)(x² + x + 4)
none of these

Factorisation

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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.

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Mathematics

x⁴ + 7x² + 16 can be factorized as:
(x² + x + 4)(x² - x + 4)
(x² + x - 4)(x² - x + 4)
(x² - x - 4)(x² + x + 4)
none of these

Factorisation

Answer

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Mathematics

x4 + 7x2 + 16 can be factorized as:(x2 + x + 4)(x2 - x + 4)(x2 + x - 4)(x2 - x + 4)(x2 - x - 4)(x2 + x + 4)none of these

Factorisation

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