Zadania
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z. 4,18 a) b) c) d) e) f) g) h)
(x3 - 8x2 + 19x - 12) : (x - 1) (2x3 + 5x2 - 2x - 5) : (x + 1) (x3 - 6x2 - 13x + 6) : (x + 2) (2x3 + 2x2 - 16x + 8) : (x - 2) (2x3 - 13x2 + 29x - 21) : (2x - 3) (6x3 + 19x2 - 12x - 45) : (3x + 5) (12x3 - 34x2 + 6x + 4) : (4x - 2) (-6x3 - 19x2 + 45x - 12) : (-3x + 4)
z. 4,22 Wyznacz wielomian V taki, że W(x) = P(x) * V(x), gdy: a) W(x) = x4 + x3 - 2x2 - 3x - 3, P(x) = x2 + x + 1 b) W(x) = x5 - 6x4 - x3 + 10x2 - 24x, P(x) = x3 - x + 4 z. 4,23 a) b) c) d)
(x3 - 8x + 10) : (x + 3) (2x4 - 6x2 + 13) : (2x - 4) (3x4 - 150x - 100) : (x - 4) (-2x5 + 12x3 - 40) : (-2x + 6)
(x3 - 8x2 + 19x - 12) : (x - 1) (2x3 + 5x2 - 2x - 5) : (x + 1) (x3 - 6x2 - 13x + 6) : (x + 2) (2x3 + 2x2 - 16x + 8) : (x - 2) (2x3 - 13x2 + 29x - 21) : (2x - 3) (6x3 + 19x2 - 12x - 45) : (3x + 5) (12x3 - 34x2 + 6x + 4) : (4x - 2) (-6x3 - 19x2 + 45x - 12) : (-3x + 4)
z. 4,22 Wyznacz wielomian V taki, że W(x) = P(x) * V(x), gdy: a) W(x) = x4 + x3 - 2x2 - 3x - 3, P(x) = x2 + x + 1 b) W(x) = x5 - 6x4 - x3 + 10x2 - 24x, P(x) = x3 - x + 4 z. 4,23 a) b) c) d)
(x3 - 8x + 10) : (x + 3) (2x4 - 6x2 + 13) : (2x - 4) (3x4 - 150x - 100) : (x - 4) (-2x5 + 12x3 - 40) : (-2x + 6)
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