A polynomial in standard form that represents the area of the shaded region is [tex]2x^2+x-45[/tex].
Solution:
The shaded region is the rectangle.
Length of the rectangle = x + 5
Width of the rectangle = 2x – 9
Area of rectangle = length × width
[tex]=(x+5)\times(2x-9)[/tex]
[tex]=x(2x-9)+5(2x-9)[/tex]
[tex]=2x^2-9x+10x-45[/tex]
Area of rectangle [tex]=2x^2+x-45[/tex]
A polynomial in standard form that represents the area of the shaded region is [tex]2x^2+x-45[/tex].
