Question

using long division method 4p3-4p2+6p-5/2 by 2p-1

Answer 1

when 4p3 - 4p2 + 6p - 5/2 is divided by 2p - 1 , it gives quotient p2 - p + 5/2 and a remainder of 0.

Answer 2

Given that,

Dividend = $4p^3-4p^2+6p-\dfrac{5}{2}$

Divisor = 2p-1

We know that,

Long division method :

Long division method is the basic method.

The divisor is written outside the right brackets and the dividend is placed within. The quotient is written above the over bar on top of the dividend.

We need to solve this equation

Using long division method

The dividend is  $4p^3-4p^2+6p-\dfrac{5}{2}$ and divisor is 2p-1.

Hence, The quotient is $2p^2+p-\dfrac{5}{2}$