22.5. Για την 21.6,

         1 = 7x + 1 - 4x.10

            = 7x + 1 - 4x(7x² + 2 - (x + 3)(7x + 1))

            = (7x + 1)(4x² + x + 1)- 4x(7x² + 2)

            = (g(x) - 2x(7x² + 2))(4x² + x + 1) - 4x(7x² + 2)

            = (g(x)(4x² + x + 1) - (7x² + 2)(8x³ + 2x² + 6x)

            = (g(x)(4x² + x + 1) - (f(x) - 4x²g(x))(8x³ + 2x² + 6x)

            = (3x³ + 9x² + 5x)f(x) + (10x⁵ + 8x⁴ + 2x³ + 4x² + x + 1)g(x).

          Για την 21.7,

          5x + 2 = (x³ + 2x² + 5x + 6) - (2x + 5)(4x² + 5x + 5)

                     = (x³ + 2x² + 5x + 6) - (2x + 5)(g(x) - (3x + 1)(x³ + 2x² + 5x + 6))

                     = (6x² + 3x + 6)(x³ + 2x² + 5x + 6) - (2x + 5)g(x)

                     = (6x² + 3x + 6)(f(x) - (5x³ + 3x² + x + 5)g(x)) - (2x + 5)g(x)

                     = (6x² + 3x + 6)f(x) - (2x⁵ + 5x⁴ + 3x³ + 2x² + 2x)g(x)

                     = (6x² + 3x + 6)f(x) + (5x⁵ + 2x⁴ + 4x³ + 5x² + 5x)g(x).

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