Question

What will be the quotient and remainder if $(6x^3+8x^2)÷2x$ ?

• A. Quotient = $3x^2+4x$
  Remainder = 0
• B. Quotient = $3x+4$
  Remainder = 0
• C. Remainder= $3x^2+4x^3$
  Quotient= $12x$
• D. Remainder= $3x^2+4x^3$
  Quotient= 0

Answer 1

The correct option is A Quotient = $3x^2+4x$

Remainder = 0
Given: $(6x^3+8x^2)÷\left(2x\right)$

$\begin{array}{c}3x^2+4x\\ 2x6x^3+8x^2\\ \underset{–}{6x^3-}2\\ 8x^2\\ \underset{–}{8x^2-}\\ \underset{–}{0}\end{array}$

Quotient = $3x^2+4x$
Remainder = 0