Question

Which the polynomial $3x^3-8x^2+x+7$ by $x-3$ using the synthetic method and write the quotient and reminder.

Answer 1

We divide $3x^3-8x^2+x+7$ by $(x-3)$ as shown in the above image:

From the division, we observe that the quotient is $3x^2+x+4$ and the remainder is $19$.

Hence, the quotient is $3x^2+x+4$ and the remainder is $19$.