POLINOMIOS ESPECIALES

POLINOMIOS ESPECIALES

Polinomio Completo: posee todos los exponentes con respecto a una variable

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Polinomio completo y ordenado

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Nota: si un polinomio es completo y ordenado de grado “n”, posee “n+1” términos

Polinomio Homogéneo: aquel en el cual todos los términos poseen el mismo grado

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                              7°            7°            7°

Grado de homogeneidad = 7

Polinomios Idénticos: poseen los mismos coeficientes para la misma parte literal

Hallar A + B + C

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A – 1 = -2                 A = -1

B + 2 = 3                B = 1

C – 1 = 5                C = 6

A + B + C = 6

Polinomio Idénticamente Nulo: aquel cuyos coeficientes son nulos o ceros

Hallar A, B y C si se sabe

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A – 2 = 0        A = 2

B + 3 = 0        B = -3

C – 2 = 0        C = 2

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b + 2 = 0                b = -2

b + a + 7 = 1                -2 + a + 7 = 1                a = -4

2a + c = 2                -8 + c = 2                c = 10

2abc = 2(-4)(-2)(10) = 160

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m + 2 = n + 6                m – n = 4

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a = 4 y b = 2

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m – 1 = 2                m = 3

n – 2 = 1                n = 3

m + n = 6

SUMATORIAS

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PARA PRACTICAR

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4n – 4 = 12                4n = 16                n = 4

12m – 3n = 12                12m – 3(4) = 12                12m – 12 = 12                12m = 24        m = 2

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