Write a polynomial in standard form that represents the area of the shaded region

A polynomial in standard form that represents the area of the shaded region is .

Solution:

The shaded region is the rectangle.

Length of the rectangle = x + 5

Width of the rectangle = 2x – 9

Area of rectangle = length × width

Area of rectangle

A polynomial in standard form that represents the area of the shaded region is .

the mistake in the pattern is that :

b. the decimal point was moved one too many place values each time

the correct pattern could be made by :

b. moving the decimal point to the right the same numbers of place values as the exponents