Question

# Find the quotient and reminder when x^{4} +1 is divided by (a)x+1

Solution

x+1)x^{4}+1(x^{3}-x^{2}+x-1 x^{4}+x^{3} -x^{3}+1 -x^{3}-x^{2}x^{2} +1x^{2} +x1-x

Quotient = x^{3}-x+x-1 **Remainder :2**