Naykaren1 Naykaren1
  • 17-09-2021
  • Mathematics
contestada

What is the remainder when x^4 + 7 is divided by x - 3

What is the remainder when x4 7 is divided by x 3 class=

Respuesta :

borjateriann
borjateriann borjateriann
  • 17-09-2021

Answer:

Let f(x)=x

4

+4x

3

−5x

2

−6x+7.

Let R be the remainder obtained when f(x) is divided by x+3.

Equate x+3 to 0 and put the value of x in f(x).

x+3=0

⟹x=−3

R=(−3)

4

+4(−3)

3

−5(−3)

2

−6(−3)+7

   =81−108−45+18+7

   =−47

Thus required remainder is −47

Answer Link

Otras preguntas

please help. will give brainlist!
Which ocean movement do power plants use to produce usable energy?
Give the points (4,2) and (-4,6). What is the equation of the line in slope intercept form?
Write the most precise name for the space figure with the given properties A lateral surface and two circular bade A. Prism B.cylinder C.sphere D.cone
What are the solutions to the quadratic function.A). y = -2B). x= -1, 2C). Infinitely Many SolutionsD). No Solution
Based on the theory of evolution, if a population possesses a large amount of genetic variety, what level of variety can be expected in the future for that same
Please help 13 points !
¿Qué cosa es Tiahuanacu?
A scientist is studying a form of marine bacteria growing in culture dishes. He noticed that a clear area formed around the mold where the bacteria that had gro
In the emperor's club, what best describes the teacher's (kevin kline) response to his student's (emile hirsch) admission of cheating? he hugged him and thanked