Quadratic Equations question bank (Maths)

Check whether the following is a quadratic equation:
$x^{3}-4x^{2}-x+1=(x-2)^{3}$

Represent the following situation in the form of a quadratic equation:
The area of a rectangular plot is $528 \ m^{2}$. The length of the plot (in metres) is one more than twice its breadth. We need to find the length and breadth of the plot.