Question

Find the remainder in the following: (x^4 – a^4 ) / (x^2 + a^2 ). Thanks!

Answer 1

Answer:

Part 1:−

x−1)

4x

3

−3x

2

+4x−2

(4x

2

+x+5

4x

3

−4x

2

−+

_____________________

x

2

+4x

x

2

−x

−+

_____________________

5x−2

5x−5

−+

_____________________

3Remainder.

Part 2:−

x−2)

4x

3

−3x

2

+4x−2

(4x

2

+5x+14

4x

3

−8x

2

−+

_____________________

5x

2

+4x

5x

2

−10x

−+

_____________________

14x−2

14x−28

−+

_____________________

26Remainder.