Question

Find the remaining if x⁵+a⁵ Is divided by x-a
${x}^{5} + {a}^{5 \: } \div x - 5$
​

Answer 1

Steps: 1) Multiply x+a with x

4

, to get x

5

, Remainder =ax

4

+a

5

2) Multiply x+a with −ax

3

, to get −ax

4

, Remainder =a

2

x

3

+a

5

3),4)It continues to reduce the first term of the remainder.

5)Multiply x+a with a

4

, to get a

4

x+a

5

, Remainder =0