what is the remainder of the following division problem?\n1\nx)x + 1\nx\n0 + 1\no x\no 1\no 0\no -1

Answer:

B. 1

Explanation:

Step1: Recall division algorithm

For a division of the form $\frac{a}{b}=q+\frac{r}{b}$, where $a$ is the dividend, $b$ is the divisor, $q$ is the quotient and $r$ is the remainder with $0\leq r < |b|$. Here, the dividend is $x + 1$ and the divisor is $x$. When we divide $x+1$ by $x$, we can write $x + 1=1\times x+1$. The quotient $q = 1$ and the remainder $r = 1$.