Asquare has sides of lenghts s . a rectangle is 6 inches shorter and 1 inch longer than the square what can represent polynomials of the area of the rectangle ?

s = side length of square

L = s-6 = width of rectangle (shorter side of rectangle)

W = s+1 = length of rectangle (longer side of rectangle)

multiply the length and width to get the area A

A = L*W

A = ( L ) * ( W )

A = (s-6)*(s+1) substitution

A = s^2 + s - 6s - 6 ... use the FOIL rule

A = s^2 - 5s - 6 combine like terms