1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
o-na [289]
2 years ago
12

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

Mathematics
1 answer:
Airida [17]2 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

You might be interested in
I need help with this
sammy [17]
If there’s a picture I’m not able to see it
5 0
3 years ago
Help math sucks THESE MAKE MY BRAIN DIE​
Flura [38]

Answer:

A ∩ B = {1, 3, 5}

A - B = {2, 4}

Step-by-step explanation:

The given problem regards sets and set notation, a set can simply be defined as a collection of values. One is given the following information:

A = {1, 2, 3, 4, 5}

B = {1, 3, 5, 6, 9}

One is asked to find the following:

A ∩ B,

A - B

1. Solving problem 1

A ∩ B,

The symbol (∩) in set notation refers to the intersection between the two sets. It essentially asks one to find all of the terms that two sets have in common. The given sets (A) and (B) have the values ({1, 3, 5}) in common thus, the following statement can be made,

A ∩ B = {1, 3, 5}

2. Solving problem 2

A - B

Subtracting two sets is essentially taking one set, and removing the values that are shared in common with the other set. Sets (A) and (B) have the following values in common ({1, 3, 5}). Thus, when doing (A - B), one will omit the values ({1, 3, 5}) from set (A).

A - B = {2, 4}

3 0
3 years ago
Describe the two equations:<br> y=-3x + 2 and y = 2x - 3
tatuchka [14]

Answer:

(-4,2)

Step-by-step explanation:

3 0
2 years ago
Please help me thanks please <br> Will give you brainlest
Akimi4 [234]

Answer:

224

Step-by-step explanation:

<u>Base:</u>

A = Bh

A = 8(8) = 64

<u>Sides:</u>

A = 1/2 Bh

A = 1/2 8(10)

A = 40

<u>Then you do 40(4) because there are 4 sides:</u>

40 (4) = 160

<u>Then you add up the base and the sides:</u>

160 + 64 = 224

(I think this is the right answer)

7 0
2 years ago
A pizza is divided into 12 pieces. Glenn and Sophie each ate 1/4 of the pizza on Thursday. The next day Sophie ate 1/3 of the pi
Natali5045456 [20]

Answer:

6 slices

Step-by-step explanation:

The full pizza is 12 pieces.  Divide 12 by 4 to find out how much she ate on Thursday.   1/4 of 12 is 3 so she ate 3 slices on Thursday.  Subtract 3 from 12 to find out how much was left for the next day.  There were 9 slices the next day.  Next, divide 9 by 3 to find out what 1/3 of 9 is.  1/3 of 9 is 3 so subtract 3 from the 9 slices.  6 slices are the original pizza remain.

3 0
3 years ago
Other questions:
  • The scatter plot below can be used to find the approximate rate at which water flows through a garden hose. The line of best fit
    11·1 answer
  • to find the average number of points per game a player scores use the formula points per game = total points/games. find the num
    10·1 answer
  • As shown in the graph, ΔGHI ≅ ΔG'H'I', since this is a vertical shift, and ΔG'H'I' ≅ ΔG''H''I'', since this is a horizontal shif
    15·1 answer
  • -3(-7) I need this asap pls help me
    12·2 answers
  • Can someone please help me
    7·1 answer
  • Henrietta has 5 hours to complete her 4 chores. How many hours does she have to do each chore? Choose the correct answer from th
    7·2 answers
  • How many solutions does this linear system have? <br> y=-6x+2<br> -12x-2y=-4
    11·2 answers
  • What is the five number summary of the following data set? Write the numbers separated by commas. 45, 8, 51, 47, 31, 45, 12, 55,
    14·1 answer
  • On a math test, 5 out of 20 students got an A. If three students are chosen at random without replacement, what is the probabili
    13·1 answer
  • Each year, a town holds a winter carnival. This year, 40% of the attendees were children under the age of 10. If 304 children un
    13·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!