2. Using long division method, divide the following polynomials by a binomial and
check your answer.
4p3 - 4p2 + 6p - 5/2by 2p - 1

2p^2-p + 5/2

Step-by-step explanation:

Here, we want to use long division method

Please check attachment for the long division process

According to the long division, the answer is

2p^2-p + 5/2

To check the answer, we multiply the binomial by the result of the division

That will be;

(2p-1)(2p^2-p + 5/2)

= 4p^3-2p^2+5p-2p^2+p-5/2

= 4p^3-2p^2-2p^2+5p+p-5/2

= 4p^3-4p^2+ 6p - 5/2

we then conclude that our answer is correct