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CLASE 33

CLASE 33. OPERACIONES CON POLINOMIOS. 3. x. – x + 2. –2. 2. 2. x. x. 3. x. –2. P( x ). =. coeficientes. C = {1; –2; –1; 2}. a) Expresa el polinomio P como la sustracción de dos binomios. ( ). ( ). x – 2. P( x ). –. =. 3. x. – x + 2. –2. – 1.

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CLASE 33

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  1. CLASE 33 OPERACIONES CON POLINOMIOS

  2. 3 x – x + 2 –2 2 2 x x 3 x –2 P(x) = coeficientes C = {1; –2; –1; 2} a) Expresa el polinomio P como la sustracción de dos binomios. ( ) ( ) x – 2 P(x) – =

  3. 3 x – x + 2 –2 – 1 x 2 1 3 1 2 2 P(x) x P(x) = b) Completa la siguiente tabla: 0 0 0 ¿Siempre toma este valor?

  4. 3 x – x + 2 –2 2 3  3 3 – 2 – 3 + 2 2 x P(x) = P(3) = P(3) – 1 27 – 18 = = 8  0 P(3) = 8

  5. 3 x – x + 2 –2 – 1 x 2 1 3 1 1 1 8 2 2 P(x) x P(x) = b) Completa la siguiente tabla: 0 0 8 0 x1 = 2 ceros o raíces del polinomio x2 = 1 x3 = –1

  6. 3 x – x + 2 –2 2 x P(x) = x1 (x – ) x2 x3 (x – ) (x – ) = (x + ) 1 x1 = 2 2 x2 = 1 1 x3 = –1 –1

  7. 3 x – x + 2 –2 P(x) = 4 2x Q(x) +2 +2x –1 = 2 2 x x Sean: x – 3 T(x) = Halla: a) P(x) + Q(x) b) P(x) – Q(x) c) T(x)P(x)

  8. 3 2 P(x) x x – x + 2 –2 = 4 2 Q(x) 2x x = +2x –1 +2 3 4 2 2 x x 2x x –2 – x + 2 +2 +2x –1 4 3 2x x P(x) + Q(x) = ( ) ( ) = + x = + + +1 (4) (0) (3) (2) (1) P(x) 2 –2 –1 1 Q(x) –1 2 2 2 0 1 2 0 1 1 P(x) + Q(x)

  9. 3 2 P(x) x x – x + 2 –2 = 4 2 Q(x) 2x x = +2x –1 +2 4 2 2x x – 2x – 2 – 1 + 3 4 2 2 x x 2x x –2 – x + 2 +2 +2x –1 3x 2 4 3 4x 2x x P(x) +[– Q(x)] = P(x) – Q(x) = ( ) ( ) = – = + + 3 (4) (0) (3) (2) (1) P(x) 2 – 2 – 1 1 – Q(x) 1 – 2 – 2 – 2 0 3 – 3 –2 – 4 1 P(x) – Q(x)

  10. – 6 + 5x 3 3 3 x x x 4 4 4 x x x – 2 – 5 – 5 2 x – 2 – x + 2 3 x 2 () – x x – 3 2 + 6x 3 2 x x – x + 2 –2 3 x –3 2 2 + 5x + 5x c) T(x)P(x) = (x – 3) = = + 2x + 3x – 6 – 6 + 5x

  11. 2 (a – b) Efectúa las siguientes operaciones: 2 a) (a+ b) b) (a – b) (a+ b) c) d) (x + b) (x+ a) 2 (a+ b + c) e) 2 (a1+ a2+ a3 + … +an) f(*))

  12. LIBRO DE DISTRIBUCIÓN GRATUITA. PROHIBIDA SU VENTA Trabajo independiente capítulo 1 epígrafe 5 ejemplo 1 ejercicios: 1. a) y e) 2. a) y b)

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