Question

if x^4+x^3-2x^2+x+1 is divided by x-1 then find remainder​

Answer 1

Question :

If

$x {}^{4} + x {}^{3} - 2x {}^{2} + x + 1$

is divided by x-1 then find remainder.

Answer :

x - 1 = 0

x = 1

Put x = 1

$x {}^{4} + x {}^{3} - 2x {}^{2} + x + 1 \\ (1) {}^{4} + (1) {}^{3} - 2(1) {}^{2} + 1 + 1 \\ 1 + 1 - 2 + 1 + 1 \\ 2 - 2 + 2 \\ = 2$

The remainder is 2 .

Hope this will help you.