Computadoras
Páginas: 4 (923 palabras)
Publicado: 21 de octubre de 2012
Ejercicios dados los polinomios: P(x) = 2X6+3X4-5X3+4X5-6X+1-2X2 Q(X) = X3-X2+3 H(X) = X-3
Calcular: 1) P(X) + Q(X) 2) P(X) – Q(X) 3) P(X) + H(X) 4) P(X) – H(X) 5) P(X) · H(X) 6) Q(X) · H(X) 7)P(X) · Q(X)
Soluciones: 1) P(X) + Q(X) = P(x) = 2X6+3X4-5X3+4X5-6X+1-2X2 Q(X) = X3-X2+3 P(X) = 2X6+4X5+3X4-5X3-2X2-6X+1 Q(X) = 0X6+0X5+0X4+X3-X2+0X+3 P(X) + Q(X) = (2+0) X6+ (4+0) X5+ (3+0) X4+(-5+1) X3+ (-2+1) X2+ (-6+0) X+ (1+3) R(X) = (2) X6+ (4) X5+ (3) X4+ (-4) X3+ (-1) X2+ (-6) X+ (4) R(X) = 2X6+4X5+3X4-4X3-1X2-6X+4
2) P(X) – Q(X) = P(X) + (-Q(X)) P(x) = 2X6+3X4-5X3+4X5-6X+1-2X2 Q(X) =X3-X2+3 P(X) = 2X6+4X5+3X4-5X3-2X2-6X+1 (-Q(X)) = -X3+X2-3 (-Q(X)) = 0X6+0X5+0X4-X3+X2+0X-3 P(X) + (-Q(X)) = (2+0) X6+ (4+0) X5+ (3+0) X4+ (-5-1) X3+ (-2+1) X2+ (-6+0) X+ (1-3) R(X) = (2) X6+ (4) X5+(3) X4+ (-6) X3+ (-1) X2+ (-6) X+ (-2) R(X) = 2X6+4X5+3X4-6X3-X2-6X-2
3) P(X) + H(X) = P(x) = 2X6+3X4-5X3+4X5-6X+1-2X2 H(X) = X-3 P(X) = 2X6+4X5+3X4-5X3-2X2-6X+1 H(X) = 0X6+0X5+0X4+0X3+0X2+X-3P(X) + H(X) = (2+0) X6+ (4+0) X5+ (3+0) X4+ (-5+0) X3+ (-2+0) X2+ (-6+1) X+ (1-3) R(X) = (2) X6+ (4) X5+ (3) X4+ (-5) X3+ (-2) X2+ (-5) X+ (-2) R(X) = 2X6+4X5+3X4-5X3-2X2-5X-2
4) P(X) – H(X) = P(X) +(-H(X)) P(x) = 2X6+3X4-5X3+4X5-6X+1-2X2 H(X) = X-3 P(X) = 2X6+4X5+3X4-5X3-2X2-6X+1 (-H(X)) = -X+3 (-H(X)) = 0X6+0X5+0X4+0X3+0X2-X+3 P(X) + (-H(X)) = (2+0) X6+ (4+0) X5+ (3+0) X4+ (-5+0) X3+ (-2+0) X2+(-6+1) X+ (1+3) R(X) = (2) X6+ (4) X5+ (3) X4+ (-5) X3+ (-2) X2+ (-7) X+ (4) R(X) = 2X6+4X5+3X4-5X3-2X2-7X+4
5) P(X) · H(X) = P(x) = 2X6+3X4-5X3+4X5-6X+1-2X2 H(X) = X-3 P(X) =2X6+4X5+3X4-5X3-2X2-6X+1 H(X) = X-3 P(X) · H(X) = (2X6+4X5+3X4-5X3-2X2-6X+1) ·X + (2X6+4X5+3X4-5X3-2X2-6X+1) · (-3) R(X) = 2·1X6+1+4·1X5+1+3·1X4+1-5·1X3+1-2·1X2+1-6·1X1+1+1·1X0+1+ (-6) X6+ (-12) X5+ (-9)X4+15X3+6X2+12X-3 R(X) = 2X7+4X6+3X5-5X4-2X3-6X2+X+ (-6) X6+ (-12) X5+ (-9) X4+15X3+6X2+12X-3 R(X) = 2X7+ (4-6) X6+ (3-12) X5+ (-5-9) X4+ (-2+15) X3+ (-6+6) X2+ (1+12) X+ (-3) R(X) = 2X7+ (-2) X6+ (-9) X5+ (-14)...
Calcular: 1) P(X) + Q(X) 2) P(X) – Q(X) 3) P(X) + H(X) 4) P(X) – H(X) 5) P(X) · H(X) 6) Q(X) · H(X) 7)P(X) · Q(X)
Soluciones: 1) P(X) + Q(X) = P(x) = 2X6+3X4-5X3+4X5-6X+1-2X2 Q(X) = X3-X2+3 P(X) = 2X6+4X5+3X4-5X3-2X2-6X+1 Q(X) = 0X6+0X5+0X4+X3-X2+0X+3 P(X) + Q(X) = (2+0) X6+ (4+0) X5+ (3+0) X4+(-5+1) X3+ (-2+1) X2+ (-6+0) X+ (1+3) R(X) = (2) X6+ (4) X5+ (3) X4+ (-4) X3+ (-1) X2+ (-6) X+ (4) R(X) = 2X6+4X5+3X4-4X3-1X2-6X+4
2) P(X) – Q(X) = P(X) + (-Q(X)) P(x) = 2X6+3X4-5X3+4X5-6X+1-2X2 Q(X) =X3-X2+3 P(X) = 2X6+4X5+3X4-5X3-2X2-6X+1 (-Q(X)) = -X3+X2-3 (-Q(X)) = 0X6+0X5+0X4-X3+X2+0X-3 P(X) + (-Q(X)) = (2+0) X6+ (4+0) X5+ (3+0) X4+ (-5-1) X3+ (-2+1) X2+ (-6+0) X+ (1-3) R(X) = (2) X6+ (4) X5+(3) X4+ (-6) X3+ (-1) X2+ (-6) X+ (-2) R(X) = 2X6+4X5+3X4-6X3-X2-6X-2
3) P(X) + H(X) = P(x) = 2X6+3X4-5X3+4X5-6X+1-2X2 H(X) = X-3 P(X) = 2X6+4X5+3X4-5X3-2X2-6X+1 H(X) = 0X6+0X5+0X4+0X3+0X2+X-3P(X) + H(X) = (2+0) X6+ (4+0) X5+ (3+0) X4+ (-5+0) X3+ (-2+0) X2+ (-6+1) X+ (1-3) R(X) = (2) X6+ (4) X5+ (3) X4+ (-5) X3+ (-2) X2+ (-5) X+ (-2) R(X) = 2X6+4X5+3X4-5X3-2X2-5X-2
4) P(X) – H(X) = P(X) +(-H(X)) P(x) = 2X6+3X4-5X3+4X5-6X+1-2X2 H(X) = X-3 P(X) = 2X6+4X5+3X4-5X3-2X2-6X+1 (-H(X)) = -X+3 (-H(X)) = 0X6+0X5+0X4+0X3+0X2-X+3 P(X) + (-H(X)) = (2+0) X6+ (4+0) X5+ (3+0) X4+ (-5+0) X3+ (-2+0) X2+(-6+1) X+ (1+3) R(X) = (2) X6+ (4) X5+ (3) X4+ (-5) X3+ (-2) X2+ (-7) X+ (4) R(X) = 2X6+4X5+3X4-5X3-2X2-7X+4
5) P(X) · H(X) = P(x) = 2X6+3X4-5X3+4X5-6X+1-2X2 H(X) = X-3 P(X) =2X6+4X5+3X4-5X3-2X2-6X+1 H(X) = X-3 P(X) · H(X) = (2X6+4X5+3X4-5X3-2X2-6X+1) ·X + (2X6+4X5+3X4-5X3-2X2-6X+1) · (-3) R(X) = 2·1X6+1+4·1X5+1+3·1X4+1-5·1X3+1-2·1X2+1-6·1X1+1+1·1X0+1+ (-6) X6+ (-12) X5+ (-9)X4+15X3+6X2+12X-3 R(X) = 2X7+4X6+3X5-5X4-2X3-6X2+X+ (-6) X6+ (-12) X5+ (-9) X4+15X3+6X2+12X-3 R(X) = 2X7+ (4-6) X6+ (3-12) X5+ (-5-9) X4+ (-2+15) X3+ (-6+6) X2+ (1+12) X+ (-3) R(X) = 2X7+ (-2) X6+ (-9) X5+ (-14)...
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