Question

find the remainder when p(x)=x^4- 3x^2+1 is divided by (x-1)​

Answer 1

Answer:

By remainder theorem, the required remainder is equal to p(1)

p(x)=x3−4x2+3x+1

∴p(1)=13−4(1)2+3(1)+1=1−4+3+1=1

∴ the required remainder =p(1)=1