Question

Find the quotient and remainder when $a^3-5a^2+8a+15$ is divided by $a+1$.

• A. Quotient : $a^2-6a+14$
  Remainder : $1$
• B. Quotient : $a^2-6a+1$
  Remainder : $0$
• C. Quotient : $a^2-6a+4$
  Remainder : $1$
• D. Quotient : $a^2-6a+14$
  Remainder : $0$

Answer 1

The correct option is A Quotient : $a^2-6a+14$

Remainder : $1$

Division of $a^3-5a^2+8a+15$ by $a+1$ is shown by the image

So, we get Quotient $=a^2-6a+14$ and Remainder $=1$

Hence, option A is correct.