Question

The remainder when $x^2+2x+1$ is divided by $(x+1)$ is

• A. 4
• B. 0
• C. 1
• D. $-2$

Answer 1

The correct option is B 0

for finding the remainder we need to use remainder theorom

let $p\left(x\right)=x^2+2x+1$

Here, the divisor is $x+1$ for dividend p(x), we need to equate it to 0 and put that value of x in p(x).

$-x+1=0$

$\therefore x=-1$

$p(-1)=(-1{)}^2+2(-1)+1=0$

Hence, remainder$=0$