Answer :
Answer:
[tex]A=x^3-14x+8[/tex]
Step-by-step explanation:
Given that,
Length of a rectangle, [tex]l=(x^2- 4x+2)[/tex]
Width of a rectangle, [tex]b=(x+4)[/tex]
We need to find the area of the rectangle.
We know that,
Area of a rectangle = l × b
Substituting all the values,
[tex]A=(x^2- 4x+2)\times (x+4)\\\\=x^3+4x^2-4x^2-16x+2x+8\\\\=x^3-14x+8[/tex]
Hence, the area of the rectangle is [tex]x^3-14x+8[/tex].