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o-na [289]
3 years ago
12

En la división sintética sólo son tomados en cuenta los coeficientes del divisor?

Mathematics
1 answer:
Airida [17]3 years ago
3 0

La división sintetica sirve para el cociente entre polinomios, la cual es particularmente util para cuando tenemos un numerador de grado alto y un denominador de grado 1.

Veremos que si, en la división sintética solo son tomados en cuenta los coeficientes del divisor.

Para explicarla, usaremos un ejemplo.

x^3 - 2x^2 + 5x + 3  será el <u>numerador</u>

x - 2 será el <u>denominador.</u>

Para poder aplicar la división sintetica, el maximo exponente en el <u>denominador </u>debe ser uno.

Así, nuestro cociente es:

\frac{x^3 - 2x^2 + 5x + 3}{x-2}

Procedemos a igualar el <u>denominador</u> a cero:

x - 2 = 0

x = 2

Ahora veremos los coeficientes del <u>numerador</u> (el <u>numerador </u>es el <u>divisor</u>).

Lo que debemos hacer es tomar cada coeficiente (comenzando por los que multiplican a los terminos con mayor exponente) y multiplicarlos por este número.

En este caso, el primer coeficiente es 1.

2*1 = 2

Ahora le sumamos esto al proximo coeficiente, que es -2:

-2 + 2 = 0

Multiplicamos esto por el valor de x, que es 2.

2*0 = 0

Ahora sumamos esto al proximo coeficiente, que es 5

5 + 0  = 5

Multiplicamos esto por el valor de x, que es 2:

5*2 = 10

Sumamos esto al ultimo coeficiente, que es 3.

10 + 3 = 13

Este ultimo valor es el residuo, y los primeros 3 números que obtuvimos son los coeficientes del cociente, entonces el cociente será:

1*x^2 + 0*x + 10 = x^2 + 10

Como vimos, solo usamos los coeficientes del numerador/divisor para realizar esta operación, por lo que si, solo los coeficientes del divisor son tomados en cuenta.

Si quieres aprender más, puedes leer:

brainly.com/question/10466403

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6x + 8 = 5x - 7 solve for x plssss
Elanso [62]

Answer:

6+8=5−7

6x+8=5x-76x+8=5x−7

6+8−8=5−7−8

----------------------------

Simplify

Subtract the numbers

Subtract the numbers

6=5−15

----------------------------

Subtract 

5

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---------------------------

6=5−15

6x=5x-156x=5x−15

6−5=5−15−5

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Simplify

Combine like terms

Multiply by 1

Combine like terms

=−15

-----------------------------

Solution

=−15

Step-by-step explanation:

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Step-by-step explanation:

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Determine the number of ways to choose a set of 9 pencils from a selection of 10.
enot [183]
The second option. 10

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A baker uses 2.327 kilograms of blueberries for muffins. There are four packages at the fruit market. Which amount is closest to
irinina [24]

Answer:

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Step-by-step explanation:

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In the case of 2.33, 2.327 - 2.33 = -0.003

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