Question

(4x^3-2x^2-3)/(2x^2-1)

Answer 1

`(4x^3-2x^2-3)/(2x^2\text{ - 1)}`

This is division of polynomial

`\begin{gathered} \text{ 2x - 1} \\ 2x^2\text{ - 1 }\sqrt[]{4x^3-2x^2\text{ - 1}} \\ \text{ - (4x}^{3\text{ }}\text{ - 2x)} \\ \text{ -2x}^2\text{ + 2x - 1} \\ \text{ - (-2x}^2\text{ + 1)} \\ \text{ 2x - 2} \end{gathered}`

Remainder = 2x - 2

Quetient = 2x - 1