Naykaren1 Naykaren1
  • 17-09-2021
  • Mathematics
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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=

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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

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