Question

The remainder obtained when $t^6+3t^2+10$ is divided by $t^3+1$ is:

• A. $t^2-11$
• B. $t^3-1$
• C. $3t^2+11$
• D. None of these

Answer 1

The correct option is C $3t^2+11$

When $t^6+3t^2+10$ is divided by $t^3+1$

we get

Quotient $=t^3-1$ and Remainder $=3t^2+11$

Hence, option $C$ is correct.