Question

The reminder left after the division of x⁴⁷ + 1 by x² -1

• A. 2x+1
• B. 2x-1
• C. x+1
• D. x-1

Answer 1

Answer:

C. x+1

x²-1 = (x+1)(x-1) p(1)=1⁴⁷=1 = 1+1 = 2 p(-1)=(-1)⁴⁷+1=-1+1=0 let reminder = Ax + B p(x) = (x+1)(x-1)q(x)+Ax+B 2=A+B 0=-A+B 2=2B ; B=1; A=1 reminder = Ax + B = x+ 1