Question

If $x^3+1$ is divided by $x^2+5$, then the possible degree of quotient is

• A. $0$
• B. $1$
• C. $2$
• D. None of these

Answer 1

The correct option is B

$1$

Explanation for the correct option:

Since, it is given that $x^3+1$ is divided by $x^2+5$.

As we know, when we divide $x^3+1$ by $x^2+5$ then first $x^3$ is divided by $x^2$ and we get $x$ as the first term of the quotient.

This implies that, the degree of quotient when $x^3+1$ is divided by $x^2+5$ is $1$.

Hence, the option $B$ is the correct option.