Question

The length of a rectangle is represented by the polyn mial 2x - 5x? + 8 and the width is represented
by the polynomial x + 3. Complete the following statements about the polynomial that represents the
area of the rectangle.

Answer 1

Answer:

Area of the Rectangle is Length multiplied by Width:  -5x³ - 13x² + 14x + 24

Step-by-step explanation:

Length of Rectangle(L) = 2x - 5x² + 8

Width of the Rectangle(W) = x + 3

Area of the Rectangle = Length(L) x Width(W)

Area of the Rectangle = (2x - 5x² + 8) (x + 3)

= x(2x - 5x² + 8) + 3(2x - 5x² + 8)

= 2x² - 5x³ + 8x + 6x - 15x² + 24

Simplify further: solve for all like terms

Area = -5x³ - 13x² + 14x + 24