Respuesta :
Solving the quadratic equation, it is found that the tiles needed to complete the factorization are given by:
- 3 positive unit tiles
- 4 negative unit tiles
What is the quadratic equation?
It is given by:
f(x) = x² - x - 12.
Hence, the coefficients are a = 1, b = -1, c = -12, and the solutions are found as follows.
[tex]\Delta = (-1)^2 - 4(1)(-12) = 49[/tex]
[tex]x_1 = \frac{1 + \sqrt{49}}{2} = 4[/tex]
[tex]x_2 = \frac{1 - \sqrt{49}}{2} = -3[/tex]
Hence the factored expression is:
x² - x - 12 = (x - 4)(x + 3).
Which means that the tiles needed are:
- 3 positive unit tiles
- 4 negative unit tiles
More can be learned about quadratic equations at https://brainly.com/question/24737967
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