Question

Find the remainder obtained when $t^6+3t^2+10$ is divided by $t^3+1$.

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

Answer 1

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

We divide the polynomial $t^6+3t^2+10$ by $t^3+1$ as shown in the above image and we observe that the quotient is $t^3-1$ and the remainder is $3t^2+11$.

Hence, the remainder is $3t^2+11$.