The factors of x4 + 4 are(a) (x2 + 2)2 (b) (x2 + 2)(x2 – 2)2 (c)

1.	The factors of x4 + 4 are(a) (x2 + 2)2 (b) (x2 + 2)(x2 – 2)2 (c) (x2 + 2x + 2) (x2 – 2x + 2) (d) (x2 – 2)2
Answer» (c) (x² + 2x +2)(x² - 2x + 2) x⁴ + 4 = x⁴ + 4 + 4x² - 4x² (Note the step) = (x² + 2)² - (2x)² = (x² + 2x +2)(x² - 2x + 2)

The factors of x4 + 4 are(a) (x2 + 2)2 (b) (x2 + 2)(x2 – 2)2 (c) (x2 + 2x + 2) (x2 – 2x + 2) (d) (x2 – 2)2

Answer»

(c) (x² + 2x +2)(x² - 2x + 2)

x⁴ + 4

= x⁴ + 4 + 4x² - 4x² (Note the step)

= (x² + 2)² - (2x)²

= (x² + 2x +2)(x² - 2x + 2)