Answered

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3. Calcula la suma de coeficientes de:

[tex]\[ -2x^3y + 7x^4y^5 + 5xy - 6 \][/tex]

a) 6
b) 3
c) 4
d) 5
e) -4

Sagot :

GinnyAnswer
Para calcular la suma de coeficientes de la expresión polinómica:
[tex]\[ -2 x^3 y + 7 x^4 y^5 + 5 x y - 6 \][/tex]

Debemos seguir los siguientes pasos:

1. Identificar los coeficientes:
- El coeficiente de [tex]\(-2 x^3 y\)[/tex] es [tex]\(-2\)[/tex].
- El coeficiente de [tex]\(7 x^4 y^5\)[/tex] es [tex]\(7\)[/tex].
- El coeficiente de [tex]\(5 x y\)[/tex] es [tex]\(5\)[/tex].
- El coeficiente del término constante [tex]\(-6\)[/tex] es [tex]\(-6\)[/tex].

2. Sumar los coeficientes:
[tex]\[ -2 + 7 + 5 - 6 \][/tex]

3. Realizar la suma paso a paso:
- Primero sumamos los coeficientes positivos: [tex]\(7 + 5 = 12\)[/tex].
- Luego sumamos los coeficientes negativos: [tex]\(-2 - 6 = -8\)[/tex].
- Finalmente, sumamos los resultados de los pasos anteriores: [tex]\(12 - 8 = 4\)[/tex].

Por lo tanto, la suma de los coeficientes de la expresión es:

[tex]\[ 4 \][/tex]

La respuesta correcta es:

c) 4
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