Minnie has a piece of cardboard with length (3x2 − 2x + 1) inches and width (2x2 + 3x − 4) inches. Which statement best explains why the area of the cardboard demonstrates the closure property?

It is equal to (6x4 + 9x3 − 12x2 + 8x − 4) square inches, which is also a polynomial like the length and width.
It is equal to (6x4 + 5x3 − 16x2 + 11x − 4) square inches, which is also a polynomial like the length and width.
The length multiplied by the width is equal to the width multiplied by the length.

Question

Minnie has a piece of cardboard with length (3x2 − 2x + 1) inches and width (2x2 + 3x − 4) inches. Which statement best explains why the area of the cardboard demonstrates the closure property?

 It is equal to (6x4 + 9x3 − 12x2 + 8x − 4) square inches, which is also a polynomial like the length and width.
 It is equal to (6x4 + 5x3 − 16x2 + 11x − 4) square inches, which is also a polynomial like the length and width.
 The length multiplied by the width is equal to the width multiplied by the length.

anonymous · Answer

The length multiplied by the width has the same degree as the width multiplied by the length.