Question

The length of a rectangle is represented by the polynomial 2x^3-5x^2+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

Area = 2x^4 + x^3 - 15x^2 + 8x + 24

Explanation:

A = (x + 3)(2x^3 - 5x^2 + 8)

A = 2x^4 - 5x^3 + 8x + 6x^3 - 15x^2 +24

combine like terms:

Area = 2x^4 + x^3 - 15x^2 + 8x + 24