Question

What will be the quotient and remainder if $(x^2+4x+4)÷(x+2)$?

• A. Quotient = $(x+2)$
  Remainder = 0
• B. Quotient = $(x+2)$
  Remainder = 5
• C. Quotient = $(2x-2)$
  Remainder = 1
• D. Remainder = $(x+2)$
  Quotient = 0

Answer 1

The correct option is A Quotient = $(x+2)$

Remainder = 0
Given: $(x^2+4x+4)÷(x+2)$
$\begin{array}{c}x+2\\ (x+2)x^2+4x+4\\ \underset{–}{x^2+2x--}2\\ 2x+4\\ \underset{–}{2x+4--}\\ \underset{–}{0}\end{array}$
Quotient = $(x+2)$
Remainder = 0