Question

Which model represents the factors of 4x2 – 9? An algebra tile configuration. 5 tiles are in the Factor 1 spot: 2 x , 3 negative. 5 tiles are in the Factor 2 spot: 2 x, 3 negative. 25 tiles are in the Product spot in 5 columns with 5 rows. First row: 2 x squared, 3 negative x. Second row: 2 x squared, 3 negative x. The last 3 rows are the same: 2 negative x, 3 negative. An algebra tile configuration. 5 tiles are in the Factor 1 spot: 2 x , 3. 5 tiles are in the Factor 2 spot: 2 x, 3. 25 tiles are in the Product spot in 5 columns with 5 rows. First row: 2 x squared, 3 x. Second row: 2 x squared, 3 negative x. The last 3 rows are the same: 1 x, 1 negative x, 3 negative. An algebra tile configuration. 5 tiles are in the Factor 1 spot: 2 x , 3. 5 tiles are in the Factor 2 spot: 2 x, 3 negative. 25 tiles are in the Product spot in 5 columns with 5 rows. First row: 2 x squared, 3 x. Second row: 2 x squared, 3 x. The last 3 rows are the same: 2 negative x, 3 negative. An algebra tile configuration. 5 tiles are in the Factor 1 spot: 2 x , 3. 5 tiles are in the Factor 2 spot: 2 x, 3. 25 tiles are in the Product spot in 5 columns with 5 rows. First row: 2 x squared, 3 x. Second row: 2 x squared, 3 negative x. The last 3 rows are the same: 1 x, 2 negative x, 3.

Answer 1

The correct factor is (2x - 3) and (2x + 3).

Quadratic equation

It is a polynomial that is equal to zero. Polynomial of variable power 2, 1, and 0 terms are there. Any equation having one term in which the power of the variable is a maximum of 2 then it is called a quadratic equation.

Given

4x² -9 = 0 is a quadratic equation.

To find

The factor of the given equation.

How to find the factor of the given equation?

4x² -9 = 0 is a quadratic equation.

According to factorization,

                 4x² - 9 = 0

             (2x)² - 3² = 0

( 2x - 3 ) ( 2x + 3 ) = 0

Thus the correct factor is (2x - 3) and (2x + 3).

More about the quadratic equation link is given below.

https://brainly.com/question/2263981

Answer 2

Answer:

The answer is C or the third option.

Step-by-step explanation:

Looking at the tiles for the third option, there are the same amount of negative and positive x-tiles. This means that they cancel each other out. What's left are the 4 x^2 tiles and 9 negative tiles. When put together the equation is 4x^2 - 9. This option represents the factors of 4x^2 - 9 accurately.