Answer: Length of the rectangle is [tex]x^2+3x-1[/tex]
Step-by-step explanation:
Since we have given that
Area of rectangle is given by
[tex]x^3+x^2-7x+2[/tex]
Width of rectangle is given by
[tex]x-2[/tex]
We need to find the length of rectangle .
As we know the formula for "Area of rectangle ":
[tex]Area=Length\times breadth\\\\x^3+x^2-7x+2=Length\times (x-2)\\\\\frac{x^3+x^2-7x+2}{x-2}=Length\\\\x^2+3x-1=Length[/tex]
Hence, Length of the rectangle is [tex]x^2+3x-1[/tex]