Odpowiedź:
W(x) * P(x) = H(x)
(x² + 3x + 2) * (ax - b) = x³ + x² - 4x - 4
ax³ + 3ax² + 2ax - bx² - 3bx - 2b = x³ + x² - 4x - 4
ax³ + (3a - b)x² + (2a - 3b)x - 2b = x³ + x² - 4x - 4
- 2b = - 4
b = 2
ax³ + (3a - 2)x² + (2a - 3 * 2)x - 2 * 2 = x³ + x² - 4x - 4
ax³ + (3a - 2)x² + (2a - 6)x - 4 = x³ + x² - 4x - 4
2a - 6 = -4
2a = 2
a = 1
Odp. a = 1, b = 2.
