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CLASE 54

3. x. –1. 4. +2. 2. y. x. 5. 2. 3. x. x. 2. –3. y. x. = 7 x. 0. 5 x. 2,1. y. CLASE 54. DESCOMPOSICIÓN FACTORIAL. P( x ). =. 7. ( x  0). Ejercicio 4 a, pág. 22. Si P( x ) = x 3 + x 2 + bx – 8, determina el valor de b para que P( x ) sea divisible por:.

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CLASE 54

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  1. 3 x –1 4 +2 2 y x 5 2 3 x x 2 –3 y x = 7x 0 5x 2,1 y CLASE 54 DESCOMPOSICIÓN FACTORIAL P(x) = 7 (x 0)

  2. Ejercicio 4 a, pág. 22 Si P(x) = x3 + x2 + bx – 8, determina el valor de b para que P(x) sea divisible por: Si P(a) = 0 entonces P(x) es divisible por x – a. a) x + 1 – 8 P(–1) = (–1)3 + (–1)2 + b(–1) – 8 +1 – b 0 = –1 P(x) = x3 + x2– 8x – 8 es divisible por x + 1. b = – 8

  3. Si P(x) = x3 + x2– 8x – 8 es divisible por x + 1. P(x) = P(x) = ( x + 1) ( x + 1) Q(x) Q(x) 1 1 1 – 8 – 8 – 1 8 0 – 1 – 8 0 0 (x2– 8)

  4. x3 + 4x2 +5x + 2 D(2) = {1; 2} 4 5 1 2 – 1 – 2 – 1 – 3 0 3 2 1 – 1 – 1 – 2 (x +1) (x2+3x +2) 0 1 2 (x +1) (x +2)(x + 1) – 2 – 2 1 0 ( x +1)2 ( x + 2)

  5. Factoriza las siguientes sumas: a) x3 – 7x + 6 b) m4 – 4m3 + 3m2 +2m

  6. Factoriza las siguientes sumas. a) x3 – 7x + 6 1 0 – 7 6 1 1 1 – 6 0 – 6 1 1 (x – 1) (x2 + x – 6) (x – 1) (x + 3) (x – 2)

  7. Factoriza las siguientes sumas: b) m4 – 4m3 + 3m2 +2m m (m3 – 4m2 + 3m + 2) m 1 – 4 3 2 – 2 2 2 – 4 1 – 2 0 – 1 (m – 2) (m2 – 2m – 1)

  8. 3 3 x +y Descomposición factorial Factor común trinomios binomios 2 2 x 2xy + y 2 2 x – y 2 mx + px + q 3 3 x – y 2 polinomios x + px + q  agrupamiento  Compl. Cuad.  Ruffini Combinaciones de casos

  9. Halla los valores de x para los cuales se anula P(x) si: P(x) = x3 + 4x2– 11x – 30 1 4 – 11 – 30 3 21 30 3 1 10 0 7 x = 3 (x2+ 7x + 10) (x –3) x = –2 x = –5 (x –3) (x +2) (x +5)

  10. LIBRO DE DISTRIBUCIÓN GRATUITA. PROHIBIDA SU VENTA Trabajo independiente Capítulo 1 Epígrafe 7 Ejemplos 1 y 2c Ejercicios 1 hasta el 5*

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