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Polinomios: MCD y MCM

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Polinomios: MCD y MCM

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Verdadero o falso sobre MCD y MCM en polinomios.

Created by

Mayra Simbaña
Mayra Simbaña
Ecuador

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Polinomios: MCD y MCM
 

Polinomios: MCD y MCMOnline version

Verdadero o falso sobre MCD y MCM en polinomios.

by Mayra Simbaña
1

Si gcd(A,B)=1 en Q[x], entonces no tienen factores polinomiales no constantes en común.

2

El MCD no existe para polinomios con coeficientes fraccionarios.

3

El MCD de dos polinomios siempre tiene menor grado que cualquiera de los dos polinomios.

4

El MCM de dos polinomios siempre es igual al producto A·B.

5

En Q[x], el MCD está definido solo hasta una constante no nula.

6

Si gcd(A,B)=1 en Q[x], el lcm es 1.

7

El MCM de A(x) y B(x) se puede definir como (A(x)·B(x)) / gcd(A,B) en Q[x].

8

El MCD de A y B es único salvo por un factor constante no nulo.

9

El MCD de polinomios A(x) y B(x) es el polinomio de mayor grado que divide a ambos.

10

El MCM de A y B en Q[x] siempre es de grado igual a la suma de los grados de A y B.

 
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