Given is a rectangle with sides of m+7 and m I need to find a polynomial for the perimeter and for the area with these given numbers. These need to be simplified but not factored in the answers
Add m + 7 and m and double the result. That will be the perimeter. It will not be a polynomial. It is called a monomial
The perimeter is 2(2m + 7) = 4m + 14
The product of m and m +7 is the area. Since they don't want it factored, multiply it out.
The area is m(m+7) = m^2 + 7m