Question

If the polynomial 3x4+4x-3x-1 is divided by x-1, then the

remainder is ​

Answer 1

=>x-1=0

=>x=1

p(x)=3x⁴+4x-3x-1

By remainder theorem,we know that when p(x) is divided by (x-1),the remainder is p(1).

=>p(1)=3(1)⁴+4(1)-3(1)-1

=>3+4-3-1

=>3

Thus,the remainder is 3.