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

The three general guidelines to control pollution are: please help me.
Which statement about totalitarianism is true? A. Totalitarianism emphasizes peace over aggression. B. Totalitarianism means following the rule of law. C. Tot
Briefly explain three roles of public protector
The longer you are friends with someone, the less likely you are to encounter differences. true or false
Parallelogram FGHI on the coordinate plane below represents the drawing of a horse trail through a local park: In order to build a scale model of the trail, the
What disadvantages did Native Americans experience in their trading with Europeans
In the figure, AB || CD. First space (answer choices): A) By the linear pair theorem B) By the Vertical Angles theorem C) Because they are corresponding angl
I NEED AN ANSWER NOW PLEASE What do you think was necessary for Southerners to rebuild the economy after the war?(15pts)
Help !?!!??????????????
if the area of a triangle is 84 in2 what is the value of xA. 4.2 inB. 168 inC. 6 inD. 24