Question

The remainder obtained when $x^{64}+x^{27}+1$ is divided by x + 1 is

• A. 3
• B. 2
• C. 1
• D. -1

Answer 1

The correct option is C 1

Here $f\left(x\right)=x^{64}+x^{27}+1$
the remainder when f(x) is divided
by $(x+1)$ is
$f(-1)$ from remainder theorem
$f(-1)=1$
So, remainder is 1.