Question

The area of the pentagon is 3x^2 + 5x - 4, and the area of the star is x^2 + 2x - 7. Find the area of the shaded region.

Answer 1

The area of the shaded region is 2x^2 + 3x + 3.

Step-by-step explanation:

To find the area of the shaded region, we need to subtract the area of the pentagon from the area of the star. The area of the shaded region is given by:

(3x^2 + 5x - 4) - (x^2 + 2x - 7) = 2x^2 + 3x + 3

So, the area of the shaded region is 2x^2 + 3x + 3.