Question

Find the remainder when x4+x3-2x2+x+1 is divided by x-1

Answer 1

Answer:

5

Step-by-step explanation:

zero of p(x)>x-1=0

x=1

4*1+3*1-2*2+1+1

4+3-4+2

=5

Answer 2

Answer:

Remainder will be 5.

Step-by-step explanation:

let x4+x3-2x2+x+1 be p(x).

let x-1 be g(x).

x-1 = 0

x = 1

By using Remainder theorum :

p(x) = x4+x3-2x2+x+1

p(1) = 1*4+1*3-2*1*2+1+1

= 4+3-4+1+1

= 3 + 2

= 5

Thus, the answer is 5.