Phân tích x⁵ – x⁴ – x³ – x² – x – 2 thành nhân tử.

x⁵ – x⁴ – x³ – x² – x – 2

= x⁵ – 2x⁴ + x³ – 2x³ + x² – 2x² + x – 2x – 2

= ( x⁵ – 2x⁴) + (x⁴ – 2x³) + (x³ – 2x²) + (x² – 2x) + (x – 2)

= x⁴(x – 2) + x³(x – 2) + x²(x – 2) + x(x – 2) + (x – 2)

= (x – 2)(x⁴ + x³ + x² + x + 1).