Question

The quotient and remainder when: $6y^5+30y^4+18y^3+6y^2+15y+3$is divided by $2y^3+1$ are

• A. Quotient:$3y^2+15y+9$ and Remainder: $3y^2-6$
  
• B. Quotient:$15y^2+3y+9$ and Remainder: $3y^2+6$
  
• C. Quotient:$3y^2+15y-9$ and Remainder: $3y^2+6$
  
• D. Quotient:$3y^2-15y+9$ and Remainder: $3y^2-6$
  

Answer 1

The correct option is A Quotient:$3y^2+15y+9$ and Remainder: $3y^2-6$

Division of $6y^5+30y^4+18y^3+6y^2+15y+3$ by $2y^3+1$ is shown in above image

So, we get

Quotient: $3y^2+15y+9$ and Remainder: $3y^2-6$

Hence, option A is correct.