Question

A rectangle has a height of
5m^4
and a width of
m^2-2m-1
Express the area of the entire rectangle.
Your answer should be a polynomial in standard form.

Answer 1

The area of a rectangle is found by multiplying its length and width.

In this case, the height of the rectangle is 5m^4 and the width is m^2 - 2m - 1.

To find the area, we need to multiply the height by the width:

Area = (5m^4)(m^2 - 2m - 1)

Using the distributive property, we can expand this expression:

Area = 5m^4 * m^2 - 5m^4 * 2m - 5m^4 * 1

Simplifying this expression, we get:

Area = 5m^6 - 10m^5 - 5m^4

Therefore, the area of the entire rectangle is 5m^6 - 10m^5 - 5m^4.