Question

What will be the quotient and remainder if $(4x^3-2x^2-3)÷(2x^2-1)$?

• A. Quotient = $(2x-1)$
  Remainder = $\left(2x\right)$
• B. Quotient = $(2x-1)$
  Remainder = $(2x-4)$
• C. Remainder= $(2x-1)$
  Quotient= $(2x-4)$
• D. Quotient = $(2x-1)$
  Remainder = $\left(4\right)$

Answer 1

The correct option is B Quotient = $(2x-1)$

Remainder = $(2x-4)$
Given: $(4x^3-2x^2-3)÷(2x^2-1)$
$\begin{array}{c}2x-1\\ 2x^2-14x^3-2x^2-3\\ \underset{–}{4x^3-2x-+}2\\ -2x^2+2x-3\\ \underset{–}{-2x^2+1+-}\\ \underset{–}{2x-4}\end{array}$
Quotient = $(2x-1)$
Remainder = $(2x-4)$