Courses
Courses for Kids
Free study material
Free LIVE classes
More

# If ${x^{51}} + 51$ is divided by $x + 1$, Then the remainder is$A)0 \\ B)1 \\ C)49 \\ D)50 \\$

Last updated date: 22nd Mar 2023
Total views: 306k
Views today: 2.85k
Here given polynomial is ${x^{51}} + 51$ and divided by $x + 1$
Remainder=$f( - 1)$ since the divisor is $x + 1$
$\Rightarrow f(x) = {x^{51}} + 51 \\ \Rightarrow f( - 1) = {( - 1)^{51}} + 51 \\ \Rightarrow f( - 1) = - 1 + 51 \\ \therefore f( - 1) = 50 \\ \\$
Hence the remainder is $50$