Question

# Find the quotient and remainder when X^4+1 is divided by (a) x-1 (b) 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+1

x^2-x

x+1

x-1

2

R-2

**quotient = x^3+x^2+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+1

x^2-x

x+1

x-1

2

R-2

**quotient = x^3+x^2+x+1**