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In square inches, the area of the square is 4x^2 - 2x - 6 and the area of the triangle 2x^2 + 4x - 5. What polynomial represents the area of the shaded region? ​

In square inches the area of the square is 4x2 2x 6 and the area of the triangle 2x2 4x 5 What polynomial represents the area of the shaded region class=

Respuesta :

Answer: the polynomial representing the shaded region is

2x² - 6x - 1

Step-by-step explanation:

The area of the square is expressed as 4x² - 2x - 6

The area of the triangle is expressed as 2x² + 4x - 5. The area of the shaded region would be the area of the square - the area of the area of the triangle.

The polynomial that represents the area of the shaded region would be

4x² - 2x - 6 - (2x² + 4x - 5)

Collecting like terms, it becomes

= 4x² - 2x² - 2x - 4x - 6 + 5

= 2x² - 6x - 1

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