A rectangle has a height of

m+3
and a width of
2m^3+m^2+3m
Express the area of the entire rectangle.
Your answer should be a polynomial in standard form.

1 answer

The area of a rectangle is given by the formula:

Area = height × width

Given that the height is (m+3) and the width is (2m^3+m^2+3m), we can substitute these values into the formula:

Area = (m+3) × (2m^3+m^2+3m)

Expanding this expression:

Area = 2m^4+m^3+3m^2+6m^2+3m+9m

Combining like terms:

Area = 2m^4+m^3+9m^2+12m

Therefore, the area of the entire rectangle is given by the polynomial:

2m^4+m^3+9m^2+12m