Question

Select the polynomial that is a perfect square trinomial. 9x2 9x 1 36b2 − 24b 8 16x2 24x 9 4a2 − 10a 25.

Answer 1

The polynomial that is a perfect square is 16x^2 + 24x +9. Option C shows the polynomial which is a perfect square.

What is 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: $16 x^2 + 24x +9$

We can write the above equation as,

$(4x)^2 + 2 \times 4x \times 3 + (3)^2$

$(a+b)^2 = a^2 + 2ab+b^2$

Here a = 4x  and b = 3, so

$16x^2 + 24x+9 = (4x+3)^2$

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.

brainly.com/question/1658516.