3 years ago

Write a polynomial that represents the area of the shaded region

Mathematics

2 answers:

AveGali [126]3 years ago

5 0

Answer:

3x² - 2x - 16

Step-by-step explanation:

3x² - 2x - 16

vladimir2022 [97]3 years ago

4 0

Answer:

3x² - 2x - 16

Step-by-step 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

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