Question

Pomoże ktoś? Zadanie w załączniku

Answer 1

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.