Long Division method to divide two polynomials

Q.

Given P = Product of $x^2$ y and $\frac{x}{y}$ and Q = Quotient obtained when $x^2$ is divided by D. If P = Q, what is the value of D?

1. 0

2. 1

3. x

4. $\frac{1}{x}$

Q.

When $p\left(x\right)=4x^3-12x^3+11x-5$ is divided by (2x - 1), the remainder is

1. 0

2. -5

3. -2

4. 2

Q. The area of a rectangle is $25a^2-35a+12$. If the length is given as $5a-3$, then the width is .

1. $4a-5$
2. $a-4$
3. $5a-4$
4. $5a-3$

Q. Factorise the following polynomial using synthetic division:
$-7x+3+4x^3$.