Question

A rectangle has a height of x+4and a width of x^2+ 3x+2.

Express the area of the entire rectangle.
Your answer should be a polynomial in standard form.

Answer 1

`x^3+7x^2+14x+8`

Explanation:

Answer 2

The area of a rectangle is height * width

Here the height is 3

the width is 2x^2 + 3x - 5

so the area is 3 * (2x^2 + 3x - 5)

using the distributive property (a(b+c) = ab + ac)

the area is 3*2x^2 + 3*3x - 3*5

6x^2 + 9x - 15

Explanation: