The polynomial that is a perfect square is 16x^2 + 24x +9. Option C shows the polynomial which is a perfect square.
The square can be defined as a two-dimensional figure that has 4 equal sides.
Given are the equations of the areas of the polynomial.
Option C: [tex]16 x^2 + 24x +9[/tex]
We can write the above equation as,
[tex](4x)^2 + 2 \times 4x \times 3 + (3)^2[/tex]
[tex](a+b)^2 = a^2 + 2ab+b^2[/tex]
Here a = 4x and b = 3, so
[tex]16x^2 + 24x+9 = (4x+3)^2[/tex]
The simplification of the area of a polynomial is (4x+3)^2 which represents the area of a square.
Hence the polynomial that is a perfect square is 16x^2 + 24x +9. Option C shows the polynomial which is a perfect square.
To know more about the area of the square, follow the link given below.
https://brainly.com/question/1658516.
