Question

Write a polynomial that represents the area of the shaded region

Answer 1

3x² - 2x - 16

Explanation:

3x² - 2x - 16

Answer 2

• 3x² - 2x - 16

Explanation:

Shaded region is the difference of the areas of the rectangles

Area of the bigger rectangle:

• A = 2x(2x + 4) = 4x + 8x

Area of the smaller rectangle:

• A = (x + 2)(x + 8) = x² + 10x + 16

Area of shaded region:

• A = 4x² + 8x - x² - 10x - 16 = 3x² - 2x - 16