Question

Write a polynomial that represents the area of the square.

Answer 1

Area of a square is length by width

So area = (4+x) (4 + x)

Apply FOIL (first, outer, inner, last) to solve this:

(4 ⋅ 4) = 16

(4 ⋅ x) = 4x

( x ⋅ 4) = 4x

(x ⋅ x) =
`x^(2)`

Answer: 16 + 4x + 4x +
`x^(2)`

=
`x^(2)` + 8x + 16 (this is the area of the square)

Happy to help!