Respuesta :
Answer:
Step-by-step explanation:
4x² - 9
(2x)² - 3²
(2x + 3)(2x - 3)
Factor 1 spot:
2 tiles of x
3 tiles of positive 1
Factor 2 spot:
2 tiles of x
3 tiles of negative 1
An algebra tile configuration with 5 tiles in the Factor 1 spot: +x², +x², +, +, +, and in the Factor 2 spot: +x², +x², +x, +x, +x, represents the factors of 4x² - 9.
How to factor a polynomial?
In order to determine a solution for the given polynomial, we would factor it by using this quadratic form:
a² - b² = (a + b)(a - b)
4x² - 9 = 2x² - 3²
2x² - 3² = (2x + 3)(2x - 3)
Based on the calculations above, an algebra tile configuration with 5 tiles in the Factor 1 spot: +x², +x², +x, +x, +x, and in the Factor 2 spot: +x², +x², +x, +x, +x, represents the factors of 4x² - 9 as shown in the image attached below.
Read more on polynomials here: https://brainly.com/question/19571593
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